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Finding the Fourth Proportional to 232.22, 320.46 and 133.96

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Solution

The fourth proportional to 232.22, 320.46 and 133.96 is: 184.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.22 : 320.46 = 133.96 : x
  2. Step 2: Convert to fraction form
    232.22/320.46 = 133.96/x
  3. Step 3: Cross multiply
    232.22x = 320.46 × 133.96
  4. Step 4: Simplify right side
    232.22x = 42,928.82
  5. Step 5: Solve for x
    x = 42,928.82/232.22
  6. Step 6: Final answer
    x = 184.86

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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.