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Finding the Fourth Proportional to 232.88, 321.28 and 154.23

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Solution

The fourth proportional to 232.88, 321.28 and 154.23 is: 212.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.88 : 321.28 = 154.23 : x
  2. Step 2: Convert to fraction form
    232.88/321.28 = 154.23/x
  3. Step 3: Cross multiply
    232.88x = 321.28 × 154.23
  4. Step 4: Simplify right side
    232.88x = 49,551.01
  5. Step 5: Solve for x
    x = 49,551.01/232.88
  6. Step 6: Final answer
    x = 212.77

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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.