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Finding the Fourth Proportional to 241.97, 363.17 and 133.83

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Solution

The fourth proportional to 241.97, 363.17 and 133.83 is: 200.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.97 : 363.17 = 133.83 : x
  2. Step 2: Convert to fraction form
    241.97/363.17 = 133.83/x
  3. Step 3: Cross multiply
    241.97x = 363.17 × 133.83
  4. Step 4: Simplify right side
    241.97x = 48,603.38
  5. Step 5: Solve for x
    x = 48,603.38/241.97
  6. Step 6: Final answer
    x = 200.87

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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.