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Finding the Fourth Proportional to 458.56, 687.97 and 166.10

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Solution

The fourth proportional to 458.56, 687.97 and 166.10 is: 249.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.56 : 687.97 = 166.10 : x
  2. Step 2: Convert to fraction form
    458.56/687.97 = 166.10/x
  3. Step 3: Cross multiply
    458.56x = 687.97 × 166.10
  4. Step 4: Simplify right side
    458.56x = 114,267.55
  5. Step 5: Solve for x
    x = 114,267.55/458.56
  6. Step 6: Final answer
    x = 249.19

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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.