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Finding the Fourth Proportional to 458.57, 687.91 and 166.21

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Solution

The fourth proportional to 458.57, 687.91 and 166.21 is: 249.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.57 : 687.91 = 166.21 : x
  2. Step 2: Convert to fraction form
    458.57/687.91 = 166.21/x
  3. Step 3: Cross multiply
    458.57x = 687.91 × 166.21
  4. Step 4: Simplify right side
    458.57x = 114,337.52
  5. Step 5: Solve for x
    x = 114,337.52/458.57
  6. Step 6: Final answer
    x = 249.33

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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.