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Finding the Fourth Proportional to 234.95, 326.46 and 232.41

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Solution

The fourth proportional to 234.95, 326.46 and 232.41 is: 322.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.95 : 326.46 = 232.41 : x
  2. Step 2: Convert to fraction form
    234.95/326.46 = 232.41/x
  3. Step 3: Cross multiply
    234.95x = 326.46 × 232.41
  4. Step 4: Simplify right side
    234.95x = 75,872.57
  5. Step 5: Solve for x
    x = 75,872.57/234.95
  6. Step 6: Final answer
    x = 322.94

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.