A metal rod was cut into three parts A, B and C, such that the length of A and B are in the ratio 4 ∶ 5, while that of B and C are in the ratio 3 ∶ 2. If the difference between the lengths of A and C is 8 cm, find the length of the metal rod.

1
136 cm
2
148 cm
3
152 cm
4
164 cm
5
176 cm

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