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Finding the Fourth Proportional to 288.59, 432.89 and 105.92

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Solution

The fourth proportional to 288.59, 432.89 and 105.92 is: 158.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.59 : 432.89 = 105.92 : x
  2. Step 2: Convert to fraction form
    288.59/432.89 = 105.92/x
  3. Step 3: Cross multiply
    288.59x = 432.89 × 105.92
  4. Step 4: Simplify right side
    288.59x = 45,849.01
  5. Step 5: Solve for x
    x = 45,849.01/288.59
  6. Step 6: Final answer
    x = 158.87

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