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Finding the Fourth Proportional to 321.50, 443.57 and 197.12

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Solution

The fourth proportional to 321.50, 443.57 and 197.12 is: 271.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.50 : 443.57 = 197.12 : x
  2. Step 2: Convert to fraction form
    321.50/443.57 = 197.12/x
  3. Step 3: Cross multiply
    321.50x = 443.57 × 197.12
  4. Step 4: Simplify right side
    321.50x = 87,433.31
  5. Step 5: Solve for x
    x = 87,433.31/321.50
  6. Step 6: Final answer
    x = 271.96

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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.