If the fourth proportional to P, 25 and 8 is 4, then find the value of P.
50
If the fourth proportional to P, 25 and 8 is 4, then the four terms are in proportion: \(P : 25 :: 8 : 4\).
For a proportion, the product of the extremes equals the product of the means: \(P \times 4 = 25 \times 8\).
So \(4P = 200\).
Therefore \(P = \dfrac{200}{4} = 50\).
Hence, the value of P is 50.
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