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Finding the Fourth Proportional to 249.38, 373.96 and 133.80

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Solution

The fourth proportional to 249.38, 373.96 and 133.80 is: 200.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.38 : 373.96 = 133.80 : x
  2. Step 2: Convert to fraction form
    249.38/373.96 = 133.80/x
  3. Step 3: Cross multiply
    249.38x = 373.96 × 133.80
  4. Step 4: Simplify right side
    249.38x = 50,035.85
  5. Step 5: Solve for x
    x = 50,035.85/249.38
  6. Step 6: Final answer
    x = 200.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.