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Add the ratios and divide into '23'
1 : 5 : 3 = 1 + 5 + 3 = 9
23/9 = 2.555
Hence
1 ratio is 1 x 2.555... = 2.555...
5 ratios are 5 x 2.555...... = 12.777....
3 ratios are 3 x 2.555... = 7.6666....
Hence the ratios are
1:5:3 :: 2.555...:12.777...:7.666...
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