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Finding the Fourth Proportional to 232.88, 321.45 and 154.22

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Solution

The fourth proportional to 232.88, 321.45 and 154.22 is: 212.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.88 : 321.45 = 154.22 : x
  2. Step 2: Convert to fraction form
    232.88/321.45 = 154.22/x
  3. Step 3: Cross multiply
    232.88x = 321.45 × 154.22
  4. Step 4: Simplify right side
    232.88x = 49,574.02
  5. Step 5: Solve for x
    x = 49,574.02/232.88
  6. Step 6: Final answer
    x = 212.87

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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.