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Finding the Fourth Proportional to 232.76, 349.25 and 133.98

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Solution

The fourth proportional to 232.76, 349.25 and 133.98 is: 201.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.76 : 349.25 = 133.98 : x
  2. Step 2: Convert to fraction form
    232.76/349.25 = 133.98/x
  3. Step 3: Cross multiply
    232.76x = 349.25 × 133.98
  4. Step 4: Simplify right side
    232.76x = 46,791.85
  5. Step 5: Solve for x
    x = 46,791.85/232.76
  6. Step 6: Final answer
    x = 201.03

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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.