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Finding the Fourth Proportional to 232.86, 321.13 and 154.14

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Solution

The fourth proportional to 232.86, 321.13 and 154.14 is: 212.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.86 : 321.13 = 154.14 : x
  2. Step 2: Convert to fraction form
    232.86/321.13 = 154.14/x
  3. Step 3: Cross multiply
    232.86x = 321.13 × 154.14
  4. Step 4: Simplify right side
    232.86x = 49,498.98
  5. Step 5: Solve for x
    x = 49,498.98/232.86
  6. Step 6: Final answer
    x = 212.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.