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Finding the Fourth Proportional to 232.09, 347.86 and 116.42

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Solution

The fourth proportional to 232.09, 347.86 and 116.42 is: 174.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.09 : 347.86 = 116.42 : x
  2. Step 2: Convert to fraction form
    232.09/347.86 = 116.42/x
  3. Step 3: Cross multiply
    232.09x = 347.86 × 116.42
  4. Step 4: Simplify right side
    232.09x = 40,497.86
  5. Step 5: Solve for x
    x = 40,497.86/232.09
  6. Step 6: Final answer
    x = 174.49

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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.