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Finding the Fourth Proportional to 322.66, 445.22 and 196.53

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Solution

The fourth proportional to 322.66, 445.22 and 196.53 is: 271.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.66 : 445.22 = 196.53 : x
  2. Step 2: Convert to fraction form
    322.66/445.22 = 196.53/x
  3. Step 3: Cross multiply
    322.66x = 445.22 × 196.53
  4. Step 4: Simplify right side
    322.66x = 87,497.72
  5. Step 5: Solve for x
    x = 87,497.72/322.66
  6. Step 6: Final answer
    x = 271.18

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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.