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Finding the Fourth Proportional to 232.48, 348.96 and 168.16

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Solution

The fourth proportional to 232.48, 348.96 and 168.16 is: 252.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.48 : 348.96 = 168.16 : x
  2. Step 2: Convert to fraction form
    232.48/348.96 = 168.16/x
  3. Step 3: Cross multiply
    232.48x = 348.96 × 168.16
  4. Step 4: Simplify right side
    232.48x = 58,681.11
  5. Step 5: Solve for x
    x = 58,681.11/232.48
  6. Step 6: Final answer
    x = 252.41

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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.