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Finding the Fourth Proportional to 321.25, 443.37 and 196.92

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Solution

The fourth proportional to 321.25, 443.37 and 196.92 is: 271.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.25 : 443.37 = 196.92 : x
  2. Step 2: Convert to fraction form
    321.25/443.37 = 196.92/x
  3. Step 3: Cross multiply
    321.25x = 443.37 × 196.92
  4. Step 4: Simplify right side
    321.25x = 87,308.42
  5. Step 5: Solve for x
    x = 87,308.42/321.25
  6. Step 6: Final answer
    x = 271.78

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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.