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Finding the Fourth Proportional to 203.73, 281.17 and 133.85

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Solution

The fourth proportional to 203.73, 281.17 and 133.85 is: 184.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.73 : 281.17 = 133.85 : x
  2. Step 2: Convert to fraction form
    203.73/281.17 = 133.85/x
  3. Step 3: Cross multiply
    203.73x = 281.17 × 133.85
  4. Step 4: Simplify right side
    203.73x = 37,634.60
  5. Step 5: Solve for x
    x = 37,634.60/203.73
  6. Step 6: Final answer
    x = 184.73

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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.