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Finding the Fourth Proportional to 232.09, 347.93 and 87.71

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Solution

The fourth proportional to 232.09, 347.93 and 87.71 is: 131.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.09 : 347.93 = 87.71 : x
  2. Step 2: Convert to fraction form
    232.09/347.93 = 87.71/x
  3. Step 3: Cross multiply
    232.09x = 347.93 × 87.71
  4. Step 4: Simplify right side
    232.09x = 30,514.76
  5. Step 5: Solve for x
    x = 30,514.76/232.09
  6. Step 6: Final answer
    x = 131.48

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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.