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Finding the Fourth Proportional to 249.49, 374.10 and 133.66

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Solution

The fourth proportional to 249.49, 374.10 and 133.66 is: 200.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.49 : 374.10 = 133.66 : x
  2. Step 2: Convert to fraction form
    249.49/374.10 = 133.66/x
  3. Step 3: Cross multiply
    249.49x = 374.10 × 133.66
  4. Step 4: Simplify right side
    249.49x = 50,002.21
  5. Step 5: Solve for x
    x = 50,002.21/249.49
  6. Step 6: Final answer
    x = 200.42

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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.