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Finding the Fourth Proportional to 322.63, 445.43 and 198.41

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Solution

The fourth proportional to 322.63, 445.43 and 198.41 is: 273.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.63 : 445.43 = 198.41 : x
  2. Step 2: Convert to fraction form
    322.63/445.43 = 198.41/x
  3. Step 3: Cross multiply
    322.63x = 445.43 × 198.41
  4. Step 4: Simplify right side
    322.63x = 88,376.04
  5. Step 5: Solve for x
    x = 88,376.04/322.63
  6. Step 6: Final answer
    x = 273.93

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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.