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Finding the Fourth Proportional to 232.60, 326.45 and 232.60

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Solution

The fourth proportional to 232.60, 326.45 and 232.60 is: 326.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.60 : 326.45 = 232.60 : x
  2. Step 2: Convert to fraction form
    232.60/326.45 = 232.60/x
  3. Step 3: Cross multiply
    232.60x = 326.45 × 232.60
  4. Step 4: Simplify right side
    232.60x = 75,932.27
  5. Step 5: Solve for x
    x = 75,932.27/232.60
  6. Step 6: Final answer
    x = 326.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.