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Finding the Fourth Proportional to 232.42, 347.71 and 174.78

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Solution

The fourth proportional to 232.42, 347.71 and 174.78 is: 261.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.42 : 347.71 = 174.78 : x
  2. Step 2: Convert to fraction form
    232.42/347.71 = 174.78/x
  3. Step 3: Cross multiply
    232.42x = 347.71 × 174.78
  4. Step 4: Simplify right side
    232.42x = 60,770.14
  5. Step 5: Solve for x
    x = 60,770.14/232.42
  6. Step 6: Final answer
    x = 261.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.