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Finding the Fourth Proportional to 291.76, 402.64 and 160.78

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Solution

The fourth proportional to 291.76, 402.64 and 160.78 is: 221.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.76 : 402.64 = 160.78 : x
  2. Step 2: Convert to fraction form
    291.76/402.64 = 160.78/x
  3. Step 3: Cross multiply
    291.76x = 402.64 × 160.78
  4. Step 4: Simplify right side
    291.76x = 64,736.46
  5. Step 5: Solve for x
    x = 64,736.46/291.76
  6. Step 6: Final answer
    x = 221.88

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