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Finding the Fourth Proportional to 232.48, 348.90 and 174.06

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Solution

The fourth proportional to 232.48, 348.90 and 174.06 is: 261.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.48 : 348.90 = 174.06 : x
  2. Step 2: Convert to fraction form
    232.48/348.90 = 174.06/x
  3. Step 3: Cross multiply
    232.48x = 348.90 × 174.06
  4. Step 4: Simplify right side
    232.48x = 60,729.53
  5. Step 5: Solve for x
    x = 60,729.53/232.48
  6. Step 6: Final answer
    x = 261.22

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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.