Dobson added a penalty and Latus then got the try denied him earlier shortly before half-time.
BBC: Hull KR 26-24 Castleford
The final twist came when Clint Newton and Shaun Briscoe combined to forge Latus's second of the night.
Jordan Thompson then put Cas in front after Dobson missed his conversion before Latus secured a nervy win.
Richard Owen scored for Tigers, Latus and Jake Webster then went over for KR either side of a Steve Snitch try.
Castleford, who had 10 players missing, took the lead after Latus's first effort was ruled out by the video referee when he was held up.
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