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Finding the Fourth Proportional to 321.22, 443.30 and 196.94

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Solution

The fourth proportional to 321.22, 443.30 and 196.94 is: 271.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.22 : 443.30 = 196.94 : x
  2. Step 2: Convert to fraction form
    321.22/443.30 = 196.94/x
  3. Step 3: Cross multiply
    321.22x = 443.30 × 196.94
  4. Step 4: Simplify right side
    321.22x = 87,303.50
  5. Step 5: Solve for x
    x = 87,303.50/321.22
  6. Step 6: Final answer
    x = 271.79

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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.