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Finding the Fourth Proportional to 232.15, 320.41 and 133.97

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Solution

The fourth proportional to 232.15, 320.41 and 133.97 is: 184.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.15 : 320.41 = 133.97 : x
  2. Step 2: Convert to fraction form
    232.15/320.41 = 133.97/x
  3. Step 3: Cross multiply
    232.15x = 320.41 × 133.97
  4. Step 4: Simplify right side
    232.15x = 42,923.14
  5. Step 5: Solve for x
    x = 42,923.14/232.15
  6. Step 6: Final answer
    x = 184.89

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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.