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|1932 Los Angeles||Gymnastics at the 1932 Summer Olympics|
|1936 Berlin||Gymnastics at the 1936 Summer Olympics|
He won three Olympic medals for Finland. He took part in his first Olympics in 1928 in Amsterdam but did not medal. He came joint sixth after a fifth place in the rings and seventh on the pommel horse and parallel bars. The Finnish team came in fifth place in the team competition.
In the next Olympics, in 1932, Finland took bronze in the team competition. Individually, Nyberg-Noroma failed to medal, but he came in fourth place in the parallel bars, 1.4 points behind his compatriot Heikki Savolainen, who took bronze. Overall, he came in ninth place.
At the Olympics in Berlin in 1936, the Finns repeated their result from the previous Olympics and won bronze in the team competition. This time, Nyberg-Noroma came in 16th place overall. He was killed in action during Winter War.