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Finding the Fourth Proportional to 232.56, 348.36 and 163.92

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Solution

The fourth proportional to 232.56, 348.36 and 163.92 is: 245.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.56 : 348.36 = 163.92 : x
  2. Step 2: Convert to fraction form
    232.56/348.36 = 163.92/x
  3. Step 3: Cross multiply
    232.56x = 348.36 × 163.92
  4. Step 4: Simplify right side
    232.56x = 57,103.17
  5. Step 5: Solve for x
    x = 57,103.17/232.56
  6. Step 6: Final answer
    x = 245.54

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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.