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Finding the Fourth Proportional to 321.02, 443.02 and 196.75

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Solution

The fourth proportional to 321.02, 443.02 and 196.75 is: 271.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.02 : 443.02 = 196.75 : x
  2. Step 2: Convert to fraction form
    321.02/443.02 = 196.75/x
  3. Step 3: Cross multiply
    321.02x = 443.02 × 196.75
  4. Step 4: Simplify right side
    321.02x = 87,162.59
  5. Step 5: Solve for x
    x = 87,162.59/321.02
  6. Step 6: Final answer
    x = 271.52

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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.