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Finding the Fourth Proportional to 321.24, 443.22 and 196.86

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Solution

The fourth proportional to 321.24, 443.22 and 196.86 is: 271.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.24 : 443.22 = 196.86 : x
  2. Step 2: Convert to fraction form
    321.24/443.22 = 196.86/x
  3. Step 3: Cross multiply
    321.24x = 443.22 × 196.86
  4. Step 4: Simplify right side
    321.24x = 87,252.29
  5. Step 5: Solve for x
    x = 87,252.29/321.24
  6. Step 6: Final answer
    x = 271.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.