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Finding the Fourth Proportional to 257.67, 385.71 and 166.43

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Solution

The fourth proportional to 257.67, 385.71 and 166.43 is: 249.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.67 : 385.71 = 166.43 : x
  2. Step 2: Convert to fraction form
    257.67/385.71 = 166.43/x
  3. Step 3: Cross multiply
    257.67x = 385.71 × 166.43
  4. Step 4: Simplify right side
    257.67x = 64,191.79
  5. Step 5: Solve for x
    x = 64,191.79/257.67
  6. Step 6: Final answer
    x = 249.12

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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.