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Finding the Fourth Proportional to 232.52, 320.46 and 197.64

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Solution

The fourth proportional to 232.52, 320.46 and 197.64 is: 272.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.52 : 320.46 = 197.64 : x
  2. Step 2: Convert to fraction form
    232.52/320.46 = 197.64/x
  3. Step 3: Cross multiply
    232.52x = 320.46 × 197.64
  4. Step 4: Simplify right side
    232.52x = 63,335.71
  5. Step 5: Solve for x
    x = 63,335.71/232.52
  6. Step 6: Final answer
    x = 272.39

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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.