Adam Gilchrist (44), Shane Warne (47), Brett Lee (47) and Nathan Bracken (37) all did well lower down the order to bring the Australian first innings total to 435.
The West Indies reply was stunted as five batsmen were out in single figures to Warne, with Devon Smith making 88, but the West Indies lost their last eight wickets for 76 to end with 210 - with Brian Lara given out for 30 lbw to Brett Lee, despite replays indicating to commentators that the ball was going on to miss the stumps.
Put in to bat on the fourth morning, the West Indies needed to chase down a total of 509 to win the match, which would be a record victory in the history of Test cricket if they were to do so.
(CricInfo scorecard)[2] The West Indies lasted one day longer at Hobart than in the first Test at Brisbane, but still lost to surrender the series with a game to play, despite winning the toss and elected to bat first.
Glenn McGrath was the pick of the bowlers with 4 for 31 from 23 overs, while Brett Lee and Stuart MacGill shared the remaining six wickets.
Brett Lee took 2 for 99, Stuart MacGill took 2 for 69 and Shane Warne took 4 for 112 in the West Indies total of 334 - after Ramdin went, breaking the partnership, the last three wickets yielded 12 runs.