Wales have beaten Ireland 10-22 to progress from the World Cup quarter-finals for the first time since 1987.
Warren Gatland's team took the lead after just three minutes, when Shane Williams crossed the line. The designated visitors held their lead for over 20 minutes, before Ronan O'Gara added to his 14 penalties in the tournament so far to put Ireland on the board from right in front of the posts.
Leigh Halfpenny re-established the seven-point lead ahead of the interval, following a penalty from the near the halfway line.
Ireland tied the score within five minutes of the restart, when Keith Earls scraped over the line. However, Mike Phillips put Wales back in front after seven minutes, while Priestland's missed kick kept them within five points.
Even so, Ireland were unable to capitalise before Jonathan Davies broke a number of tackles to extend their lead after the hour mark and put the match all but out of reach.
Wales will face the winner of England and France in the semi-finals.