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Finding the Fourth Proportional to 321.05, 443.07 and 196.73

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Solution

The fourth proportional to 321.05, 443.07 and 196.73 is: 271.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.05 : 443.07 = 196.73 : x
  2. Step 2: Convert to fraction form
    321.05/443.07 = 196.73/x
  3. Step 3: Cross multiply
    321.05x = 443.07 × 196.73
  4. Step 4: Simplify right side
    321.05x = 87,165.16
  5. Step 5: Solve for x
    x = 87,165.16/321.05
  6. Step 6: Final answer
    x = 271.50

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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.