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Finding the Fourth Proportional to 458.06, 687.02 and 149.92

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Solution

The fourth proportional to 458.06, 687.02 and 149.92 is: 224.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.06 : 687.02 = 149.92 : x
  2. Step 2: Convert to fraction form
    458.06/687.02 = 149.92/x
  3. Step 3: Cross multiply
    458.06x = 687.02 × 149.92
  4. Step 4: Simplify right side
    458.06x = 102,995.57
  5. Step 5: Solve for x
    x = 102,995.57/458.06
  6. Step 6: Final answer
    x = 224.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.