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Finding the Fourth Proportional to 322.48, 445.06 and 198.22

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Solution

The fourth proportional to 322.48, 445.06 and 198.22 is: 273.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.48 : 445.06 = 198.22 : x
  2. Step 2: Convert to fraction form
    322.48/445.06 = 198.22/x
  3. Step 3: Cross multiply
    322.48x = 445.06 × 198.22
  4. Step 4: Simplify right side
    322.48x = 88,219.79
  5. Step 5: Solve for x
    x = 88,219.79/322.48
  6. Step 6: Final answer
    x = 273.57

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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.