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Finding the Fourth Proportional to 249.27, 373.96 and 75.94

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Solution

The fourth proportional to 249.27, 373.96 and 75.94 is: 113.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.27 : 373.96 = 75.94 : x
  2. Step 2: Convert to fraction form
    249.27/373.96 = 75.94/x
  3. Step 3: Cross multiply
    249.27x = 373.96 × 75.94
  4. Step 4: Simplify right side
    249.27x = 28,398.52
  5. Step 5: Solve for x
    x = 28,398.52/249.27
  6. Step 6: Final answer
    x = 113.93

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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.