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Finding the Fourth Proportional to 322.57, 445.23 and 198.21

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Solution

The fourth proportional to 322.57, 445.23 and 198.21 is: 273.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.57 : 445.23 = 198.21 : x
  2. Step 2: Convert to fraction form
    322.57/445.23 = 198.21/x
  3. Step 3: Cross multiply
    322.57x = 445.23 × 198.21
  4. Step 4: Simplify right side
    322.57x = 88,249.04
  5. Step 5: Solve for x
    x = 88,249.04/322.57
  6. Step 6: Final answer
    x = 273.58

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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.