Set 306 off 49 overs for victory after Western Australia declared it's second innings closed at 312 for six, Queensland set about the task with style.
Opener Clinton Perron hit 61 off 69 balls but was favoured by dropped catches on three occasions while number three Martin Love scored 63 off 73 deliveries before he was trapped lbw off the bowling of Kade Harvey.
Left-arm spinner and Man of the Match Beau Casson, who finished with 3-90, then slowed down the Queensland charge to have them just four wickets from defeat with nine overs remaining.
In the end Queensland finished 59 runs short of victory, with Stuart Law on 54 and Ashley Noffke on 14 the not-out batsmen. Casson claimed match figures of 8-199.
The result leaves Queensland on 16 points in third place on the Sheffield Shield ladder behind Victoria on 26 points and Tasmania on 20.
Hauritz's knock gives Queensland advantage