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Finding the Fourth Proportional to 322.38, 445.10 and 198.16

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Solution

The fourth proportional to 322.38, 445.10 and 198.16 is: 273.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.38 : 445.10 = 198.16 : x
  2. Step 2: Convert to fraction form
    322.38/445.10 = 198.16/x
  3. Step 3: Cross multiply
    322.38x = 445.10 × 198.16
  4. Step 4: Simplify right side
    322.38x = 88,201.02
  5. Step 5: Solve for x
    x = 88,201.02/322.38
  6. Step 6: Final answer
    x = 273.59

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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.