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Finding the Fourth Proportional to 288.72, 432.75 and 165.15

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Solution

The fourth proportional to 288.72, 432.75 and 165.15 is: 247.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.72 : 432.75 = 165.15 : x
  2. Step 2: Convert to fraction form
    288.72/432.75 = 165.15/x
  3. Step 3: Cross multiply
    288.72x = 432.75 × 165.15
  4. Step 4: Simplify right side
    288.72x = 71,468.66
  5. Step 5: Solve for x
    x = 71,468.66/288.72
  6. Step 6: Final answer
    x = 247.54

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