If all men had identical body​ types, their weight would vary directly as the cube of their height. The tallest person reached a record height of 8 feet 11 inches ​(107 ​inches) before his death at age 22. If a man who is 5 feet 10 inches tall ​(70 ​inches) with the same body type as the tallest person weighs 170 ​pounds, what was the tallest​ person's weight shortly before his​ death?