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Finding the Fourth Proportional to 232.89, 349.43 and 172.53

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Solution

The fourth proportional to 232.89, 349.43 and 172.53 is: 258.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.89 : 349.43 = 172.53 : x
  2. Step 2: Convert to fraction form
    232.89/349.43 = 172.53/x
  3. Step 3: Cross multiply
    232.89x = 349.43 × 172.53
  4. Step 4: Simplify right side
    232.89x = 60,286.30
  5. Step 5: Solve for x
    x = 60,286.30/232.89
  6. Step 6: Final answer
    x = 258.86

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Why These Related Problems?

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