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Finding the Fourth Proportional to 257.76, 387.54 and 249.12

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Solution

The fourth proportional to 257.76, 387.54 and 249.12 is: 374.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.76 : 387.54 = 249.12 : x
  2. Step 2: Convert to fraction form
    257.76/387.54 = 249.12/x
  3. Step 3: Cross multiply
    257.76x = 387.54 × 249.12
  4. Step 4: Simplify right side
    257.76x = 96,543.96
  5. Step 5: Solve for x
    x = 96,543.96/257.76
  6. Step 6: Final answer
    x = 374.55

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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.