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Finding the Fourth Proportional to 321.22, 443.24 and 196.89

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Solution

The fourth proportional to 321.22, 443.24 and 196.89 is: 271.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.22 : 443.24 = 196.89 : x
  2. Step 2: Convert to fraction form
    321.22/443.24 = 196.89/x
  3. Step 3: Cross multiply
    321.22x = 443.24 × 196.89
  4. Step 4: Simplify right side
    321.22x = 87,267.62
  5. Step 5: Solve for x
    x = 87,267.62/321.22
  6. Step 6: Final answer
    x = 271.67

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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.