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Finding the Fourth Proportional to 232.69, 321.33 and 154.06

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Solution

The fourth proportional to 232.69, 321.33 and 154.06 is: 212.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.69 : 321.33 = 154.06 : x
  2. Step 2: Convert to fraction form
    232.69/321.33 = 154.06/x
  3. Step 3: Cross multiply
    232.69x = 321.33 × 154.06
  4. Step 4: Simplify right side
    232.69x = 49,504.10
  5. Step 5: Solve for x
    x = 49,504.10/232.69
  6. Step 6: Final answer
    x = 212.75

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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.