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Finding the Fourth Proportional to 232.83, 321.05 and 197.97

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Solution

The fourth proportional to 232.83, 321.05 and 197.97 is: 272.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.83 : 321.05 = 197.97 : x
  2. Step 2: Convert to fraction form
    232.83/321.05 = 197.97/x
  3. Step 3: Cross multiply
    232.83x = 321.05 × 197.97
  4. Step 4: Simplify right side
    232.83x = 63,558.27
  5. Step 5: Solve for x
    x = 63,558.27/232.83
  6. Step 6: Final answer
    x = 272.99

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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.