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Finding the Fourth Proportional to 458.85, 687.93 and 166.20

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Solution

The fourth proportional to 458.85, 687.93 and 166.20 is: 249.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.85 : 687.93 = 166.20 : x
  2. Step 2: Convert to fraction form
    458.85/687.93 = 166.20/x
  3. Step 3: Cross multiply
    458.85x = 687.93 × 166.20
  4. Step 4: Simplify right side
    458.85x = 114,333.97
  5. Step 5: Solve for x
    x = 114,333.97/458.85
  6. Step 6: Final answer
    x = 249.18

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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.