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Finding the Fourth Proportional to 258.10, 387.15 and 166.57

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Solution

The fourth proportional to 258.10, 387.15 and 166.57 is: 249.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.10 : 387.15 = 166.57 : x
  2. Step 2: Convert to fraction form
    258.10/387.15 = 166.57/x
  3. Step 3: Cross multiply
    258.10x = 387.15 × 166.57
  4. Step 4: Simplify right side
    258.10x = 64,487.58
  5. Step 5: Solve for x
    x = 64,487.58/258.10
  6. Step 6: Final answer
    x = 249.86

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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.