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Finding the Fourth Proportional to 382.85, 574.17 and 166.38

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Solution

The fourth proportional to 382.85, 574.17 and 166.38 is: 249.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.85 : 574.17 = 166.38 : x
  2. Step 2: Convert to fraction form
    382.85/574.17 = 166.38/x
  3. Step 3: Cross multiply
    382.85x = 574.17 × 166.38
  4. Step 4: Simplify right side
    382.85x = 95,530.40
  5. Step 5: Solve for x
    x = 95,530.40/382.85
  6. Step 6: Final answer
    x = 249.52

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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.