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Finding the Fourth Proportional to 232.11, 320.37 and 133.93

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Solution

The fourth proportional to 232.11, 320.37 and 133.93 is: 184.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.11 : 320.37 = 133.93 : x
  2. Step 2: Convert to fraction form
    232.11/320.37 = 133.93/x
  3. Step 3: Cross multiply
    232.11x = 320.37 × 133.93
  4. Step 4: Simplify right side
    232.11x = 42,906.35
  5. Step 5: Solve for x
    x = 42,906.35/232.11
  6. Step 6: Final answer
    x = 184.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.