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Finding the Fourth Proportional to 322.48, 445.16 and 196.49

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Solution

The fourth proportional to 322.48, 445.16 and 196.49 is: 271.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.48 : 445.16 = 196.49 : x
  2. Step 2: Convert to fraction form
    322.48/445.16 = 196.49/x
  3. Step 3: Cross multiply
    322.48x = 445.16 × 196.49
  4. Step 4: Simplify right side
    322.48x = 87,471.09
  5. Step 5: Solve for x
    x = 87,471.09/322.48
  6. Step 6: Final answer
    x = 271.24

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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.