Tasmania 1 for 5 trail Western Australia 300 (Inglis 116, Cartwright 56, Bird 4-51) by 295 runs
Western Australia were bowled out minutes before stumps for 300, but Inglis held the innings together after the visitors' much-vaunted top-order slipped to 4 for 110.
At stumps, Tasmania were 1 for 5 with Caleb Jewell failing to survive the three overs before the close when he was caught behind.
Tasmania are one of four teams sharing second spot and eyeing a ticket to next month's final, with the decider almost certain to be hosted by runaway leaders Western Australia.
Tasmania's aggressive approach paid early dividends with the Shield's leading scorer, Cameron Bancroft, falling victim to a superb Tim Paine catch behind the stumps off the bowling of Bird for just 1.
There were steady contributions in the top half of the WA order from Sam Whiteman (40), Teague Wyllie (28) and Hilton Cartwright (56).
WA went to tea after a rain-impacted middle session at a relatively precarious 5 for 184, but Inglis scored with regularity until his late dismissal with the last four wickets adding 80 valuable runs.