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Finding the Fourth Proportional to 234.97, 324.12 and 161.31

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Solution

The fourth proportional to 234.97, 324.12 and 161.31 is: 222.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.97 : 324.12 = 161.31 : x
  2. Step 2: Convert to fraction form
    234.97/324.12 = 161.31/x
  3. Step 3: Cross multiply
    234.97x = 324.12 × 161.31
  4. Step 4: Simplify right side
    234.97x = 52,283.80
  5. Step 5: Solve for x
    x = 52,283.80/234.97
  6. Step 6: Final answer
    x = 222.51

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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.