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Finding the Fourth Proportional to 322.64, 445.12 and 198.32

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Solution

The fourth proportional to 322.64, 445.12 and 198.32 is: 273.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.64 : 445.12 = 198.32 : x
  2. Step 2: Convert to fraction form
    322.64/445.12 = 198.32/x
  3. Step 3: Cross multiply
    322.64x = 445.12 × 198.32
  4. Step 4: Simplify right side
    322.64x = 88,276.20
  5. Step 5: Solve for x
    x = 88,276.20/322.64
  6. Step 6: Final answer
    x = 273.61

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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.