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Finding the Fourth Proportional to 321.06, 443.14 and 196.82

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Solution

The fourth proportional to 321.06, 443.14 and 196.82 is: 271.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.06 : 443.14 = 196.82 : x
  2. Step 2: Convert to fraction form
    321.06/443.14 = 196.82/x
  3. Step 3: Cross multiply
    321.06x = 443.14 × 196.82
  4. Step 4: Simplify right side
    321.06x = 87,218.81
  5. Step 5: Solve for x
    x = 87,218.81/321.06
  6. Step 6: Final answer
    x = 271.66

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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.