County Championship D1, Canterbury, (day three, stumps): Kent 199 & 533-8 dec v Hampshire 272 & 18-0
Darren Stevens scored his first century of the season to help set Hampshire a target of 461, and Shane Warne's team will need a further 443 at 18-0.
Martin van Jaarsveld failed to add to his overnight 109 before he drove loosely at the third ball of the day.
Skipper Rob Key posted his second ton of the campaign with his 11th four.
Stevens, who was dropped at short cover from a firmly struck drive on 67, reached three figures from 179 balls before missing a slog at Jimmy Adams.
Matthew Walker was almost run out after slipping and was dropped on 38 by Michael Lumb at first slip but added a useful 46.
Former England wicket-keeper Geraint Jones struck one glorious cover drive to the boundary before falling to Australian Stuart Clark.
South African Andrew Hall fired 48 from 71 balls, sharing 83 for the sixth wicket with Stevens until he was caught at cover, a solitary success for Warne.