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Finding the Fourth Proportional to 196.32, 271.05 and 122.61

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Solution

The fourth proportional to 196.32, 271.05 and 122.61 is: 169.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.32 : 271.05 = 122.61 : x
  2. Step 2: Convert to fraction form
    196.32/271.05 = 122.61/x
  3. Step 3: Cross multiply
    196.32x = 271.05 × 122.61
  4. Step 4: Simplify right side
    196.32x = 33,233.44
  5. Step 5: Solve for x
    x = 33,233.44/196.32
  6. Step 6: Final answer
    x = 169.28

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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.