Kent 95 and 66 for 0 (Crawley 35*, Compton 30*) trail Hampshire 373 (Dawson 84, Weatherley 58, Fuller 51) by 212 runs
Kent were left battling for a draw after three days of their of the LV= Insurance County Championship match with Hampshire at Canterbury.
The hosts are 66 without loss in their second innings, trailing by 212, with Zak Crawley unbeaten on 35 and Ben Compton 30 not out.
Earlier, Liam Dawson hit 84, Joe Weatherley 58 and James Fuller 51 as the visitors posted 373 in their first innings.
Kent had started well, with Wes Agar taking three early wickets to help reduce Hampshire to 159 for 5, but after riding out a torrid opening session the visitors kicked on after lunch and took a 278-run lead.
After day two had been reduced to just 6.1 overs, the weather finally improved on Saturday morning, with Hampshire resuming on 103 for nought.
Having been dismissed for just 95 in their first innings, Kent came roaring back into the contest, with Agar striking twice in the third over over of the day.
Fletcha Middleton was first to go, edging behind for 48 and handing Jordan Cox his first red-ball dismissal as a wicketkeeper. Agar then produced an absolute jaffa that sent Nick Gubbins' off-stump cartwheeling.
He then had Weatherley lbw, but was denied a fourth victim when Crawley dropped Ben Brown, although the batter failed to cash in, adding just a single before he was lbw to Grant Stewart for 10.
A far-from-gruntled James Vince was given lbw to Michael Hogan for 24 and Hampshire endured a spell of 7.4 overs without scoring. Ian Holland took 36 balls to get off the mark, although when he did it was a stylish cut off Joey Evison for four and he and Dawson survived to reach 189 for 5 at lunch.
From then on the visitors dominated and as the runs came in torrents the home desperation was summed up when an lbw appeal was turned down and a fan yelled: "Come on you … " before realising the entire ground could hear him. Thinking better of swearing, he meekly added the word … "umpire," to widespread laughter.
A potentially crucial stand of 94 was ended in emphatic fashion when Evison splayed Holland's stumps for 41, but by then the momentum was entirely with Hampshire.
It was 308 for 6 at tea and Dawson continued to hit out until he holed out to Hamid Qadri and was caught at mid-wicket by Tawanda Muyeye.
Kyle Abbott was lbw to Evision for 2 before Fuller tried to sweep a full toss from Qadri and was caught on the boundary by Muyeye.
When Keith Barker clubbed Evison to Muyeye for 25 it left Kent with a hazardous 26 overs to survive until stumps.
Dawson put down a tough chance to catch Ben Compton off Mohammad Abbas, but the openers batted through until failing light forced Hampshire to bring on their spinners for the final five overs and neither Dawson nor Weatherley was able to break through.
