Queensland 107 & 2 for 164 (Burns 74, Labuschagne 58*) need 249 more runs to beat Tasmania 167 & 353 (Bailey 109, Silk 54, Swepson 4-99)
Tasmania set Queensland the monumental target after George Bailey reached his 23rd first class century early on the third morning. Matthew Wade was run out without adding to his overnight total and Bailey fell for 109, caught at second slip off Mark Steketee. But Simon Milenko made 53 to help push the Tigers total beyond 350.
Queensland legspinner Mitch Swepson picked up four wickets to wrap up the innings.
The Bulls' huge chase started brightly with Matthew Renshaw racing to 27 off 24 balls. But he was undone by a superb piece of bowling from Jackson Bird. Coming around the wicket to the left-hander, he angled in and seamed one away past the outside edge to clip the top of off stump.
But Burns and Labuschagne steadied the innings with a 126-run partnership. Burns reached his fourth half-century of the Shield season and Labuschagne his second. They looked set to reach stumps just one down with 250 more to get but Riley Meredith breached Burns' defence on 74 with just three balls remaining in the day. Labuschagne remained 58 not out at stumps.