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Finding the Fourth Proportional to 321.82, 443.96 and 197.43

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Solution

The fourth proportional to 321.82, 443.96 and 197.43 is: 272.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.82 : 443.96 = 197.43 : x
  2. Step 2: Convert to fraction form
    321.82/443.96 = 197.43/x
  3. Step 3: Cross multiply
    321.82x = 443.96 × 197.43
  4. Step 4: Simplify right side
    321.82x = 87,648.80
  5. Step 5: Solve for x
    x = 87,648.80/321.82
  6. Step 6: Final answer
    x = 272.36

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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.