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Finding the Fourth Proportional to 288.98, 432.91 and 178.97

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Solution

The fourth proportional to 288.98, 432.91 and 178.97 is: 268.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.98 : 432.91 = 178.97 : x
  2. Step 2: Convert to fraction form
    288.98/432.91 = 178.97/x
  3. Step 3: Cross multiply
    288.98x = 432.91 × 178.97
  4. Step 4: Simplify right side
    288.98x = 77,477.90
  5. Step 5: Solve for x
    x = 77,477.90/288.98
  6. Step 6: Final answer
    x = 268.11

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