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Finding the Fourth Proportional to 232.08, 347.28 and 163.68

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Solution

The fourth proportional to 232.08, 347.28 and 163.68 is: 244.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.08 : 347.28 = 163.68 : x
  2. Step 2: Convert to fraction form
    232.08/347.28 = 163.68/x
  3. Step 3: Cross multiply
    232.08x = 347.28 × 163.68
  4. Step 4: Simplify right side
    232.08x = 56,842.79
  5. Step 5: Solve for x
    x = 56,842.79/232.08
  6. Step 6: Final answer
    x = 244.93

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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.