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Finding the Fourth Proportional to 322.30, 445.01 and 198.13

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Solution

The fourth proportional to 322.30, 445.01 and 198.13 is: 273.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.30 : 445.01 = 198.13 : x
  2. Step 2: Convert to fraction form
    322.30/445.01 = 198.13/x
  3. Step 3: Cross multiply
    322.30x = 445.01 × 198.13
  4. Step 4: Simplify right side
    322.30x = 88,168.10
  5. Step 5: Solve for x
    x = 88,168.10/322.30
  6. Step 6: Final answer
    x = 273.56

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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.