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Finding the Fourth Proportional to 458.10, 686.91 and 149.92

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Solution

The fourth proportional to 458.10, 686.91 and 149.92 is: 224.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.10 : 686.91 = 149.92 : x
  2. Step 2: Convert to fraction form
    458.10/686.91 = 149.92/x
  3. Step 3: Cross multiply
    458.10x = 686.91 × 149.92
  4. Step 4: Simplify right side
    458.10x = 102,980.39
  5. Step 5: Solve for x
    x = 102,980.39/458.10
  6. Step 6: Final answer
    x = 224.80

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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.