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Finding the Fourth Proportional to 457.92, 686.88 and 149.76

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Solution

The fourth proportional to 457.92, 686.88 and 149.76 is: 224.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.92 : 686.88 = 149.76 : x
  2. Step 2: Convert to fraction form
    457.92/686.88 = 149.76/x
  3. Step 3: Cross multiply
    457.92x = 686.88 × 149.76
  4. Step 4: Simplify right side
    457.92x = 102,867.15
  5. Step 5: Solve for x
    x = 102,867.15/457.92
  6. Step 6: Final answer
    x = 224.64

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