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Finding the Fourth Proportional to 249.38, 343.31 and 187.10

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Solution

The fourth proportional to 249.38, 343.31 and 187.10 is: 257.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.38 : 343.31 = 187.10 : x
  2. Step 2: Convert to fraction form
    249.38/343.31 = 187.10/x
  3. Step 3: Cross multiply
    249.38x = 343.31 × 187.10
  4. Step 4: Simplify right side
    249.38x = 64,234.92
  5. Step 5: Solve for x
    x = 64,234.92/249.38
  6. Step 6: Final answer
    x = 257.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.