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Finding the Fourth Proportional to 232.73, 321.13 and 159.22

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Solution

The fourth proportional to 232.73, 321.13 and 159.22 is: 219.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.73 : 321.13 = 159.22 : x
  2. Step 2: Convert to fraction form
    232.73/321.13 = 159.22/x
  3. Step 3: Cross multiply
    232.73x = 321.13 × 159.22
  4. Step 4: Simplify right side
    232.73x = 51,130.32
  5. Step 5: Solve for x
    x = 51,130.32/232.73
  6. Step 6: Final answer
    x = 219.70

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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.