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Finding the Fourth Proportional to 232.80, 321.18 and 167.28

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Solution

The fourth proportional to 232.80, 321.18 and 167.28 is: 230.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.80 : 321.18 = 167.28 : x
  2. Step 2: Convert to fraction form
    232.80/321.18 = 167.28/x
  3. Step 3: Cross multiply
    232.80x = 321.18 × 167.28
  4. Step 4: Simplify right side
    232.80x = 53,726.99
  5. Step 5: Solve for x
    x = 53,726.99/232.80
  6. Step 6: Final answer
    x = 230.79

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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.