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Finding the Fourth Proportional to 232.67, 347.22 and 205.34

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Solution

The fourth proportional to 232.67, 347.22 and 205.34 is: 306.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.67 : 347.22 = 205.34 : x
  2. Step 2: Convert to fraction form
    232.67/347.22 = 205.34/x
  3. Step 3: Cross multiply
    232.67x = 347.22 × 205.34
  4. Step 4: Simplify right side
    232.67x = 71,296.42
  5. Step 5: Solve for x
    x = 71,296.42/232.67
  6. Step 6: Final answer
    x = 306.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.