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Finding the Fourth Proportional to 232.18, 320.47 and 133.95

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Solution

The fourth proportional to 232.18, 320.47 and 133.95 is: 184.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.18 : 320.47 = 133.95 : x
  2. Step 2: Convert to fraction form
    232.18/320.47 = 133.95/x
  3. Step 3: Cross multiply
    232.18x = 320.47 × 133.95
  4. Step 4: Simplify right side
    232.18x = 42,924.68
  5. Step 5: Solve for x
    x = 42,924.68/232.18
  6. Step 6: Final answer
    x = 184.88

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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.