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Finding the Fourth Proportional to 322.97, 445.72 and 198.69

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Solution

The fourth proportional to 322.97, 445.72 and 198.69 is: 274.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.97 : 445.72 = 198.69 : x
  2. Step 2: Convert to fraction form
    322.97/445.72 = 198.69/x
  3. Step 3: Cross multiply
    322.97x = 445.72 × 198.69
  4. Step 4: Simplify right side
    322.97x = 88,560.82
  5. Step 5: Solve for x
    x = 88,560.82/322.97
  6. Step 6: Final answer
    x = 274.21

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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.