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Finding the Fourth Proportional to 252.71, 380.69 and 249.52

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Solution

The fourth proportional to 252.71, 380.69 and 249.52 is: 375.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.71 : 380.69 = 249.52 : x
  2. Step 2: Convert to fraction form
    252.71/380.69 = 249.52/x
  3. Step 3: Cross multiply
    252.71x = 380.69 × 249.52
  4. Step 4: Simplify right side
    252.71x = 94,989.77
  5. Step 5: Solve for x
    x = 94,989.77/252.71
  6. Step 6: Final answer
    x = 375.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.