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Finding the Fourth Proportional to 458, 687.09 and 149.87

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Solution

The fourth proportional to 458, 687.09 and 149.87 is: 224.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    458 : 687.09 = 149.87 : x
  2. Step 2: Convert to fraction form
    458/687.09 = 149.87/x
  3. Step 3: Cross multiply
    458x = 687.09 × 149.87
  4. Step 4: Simplify right side
    458x = 102,974.18
  5. Step 5: Solve for x
    x = 102,974.18/458
  6. Step 6: Final answer
    x = 224.83

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