Romo rallies Cowboys past sinking Eagles Mon Dec 3, 2012 12:10am EST (Reuters) - Tony Romo came out all guns blazing during a second half shootout as the Dallas Cowboys beat the crumbling Philadelphia Eagles 38-33 on Sunday to keep their playoff hopes intact. Romo tossed all three of his touchdown passes in the final two quarters, where both teams traded scores, finding Dez Bryant on a six-yard score with 5:35 remaining to give the Cowboys a 31-27 lead and their first advantage of the game. The result was all but sealed when Philadelphia running back Bryce Brown then fumbled and Dallas' Morris Claiborne returned it 50 yards to make it 38-27. The Eagles closed the gap with Damaris Johnson's 98-yard punt return TD in the final minute, but their onside kickoff attempt failed. Despite an early 14-3 lead and strong games from rookie QB Nick Foles and Brown, the visiting Eagles (3-9) dropped their eighth straight game, their longest losing streak since an 11-game slide in 1968. The roller coaster season for Dallas (6-6) continued as they climbed out of their deficit and caught fire in the second half behind Romo, who finished with 303 yards passing. The Cowboys also got a boost from DeMarco Murray, who returned from a foot injury that had sidelined him for six consecutive games and finished with 83 yards rushing and a score. (Writing by Jahmal Corner in Los Angeles.