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Finding the Fourth Proportional to 457.71, 686.67 and 149.56

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Solution

The fourth proportional to 457.71, 686.67 and 149.56 is: 224.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.71 : 686.67 = 149.56 : x
  2. Step 2: Convert to fraction form
    457.71/686.67 = 149.56/x
  3. Step 3: Cross multiply
    457.71x = 686.67 × 149.56
  4. Step 4: Simplify right side
    457.71x = 102,696.65
  5. Step 5: Solve for x
    x = 102,696.65/457.71
  6. Step 6: Final answer
    x = 224.37

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