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Finding the Fourth Proportional to 196.67, 271.10 and 122.86

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Solution

The fourth proportional to 196.67, 271.10 and 122.86 is: 169.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.67 : 271.10 = 122.86 : x
  2. Step 2: Convert to fraction form
    196.67/271.10 = 122.86/x
  3. Step 3: Cross multiply
    196.67x = 271.10 × 122.86
  4. Step 4: Simplify right side
    196.67x = 33,306.98
  5. Step 5: Solve for x
    x = 33,306.98/196.67
  6. Step 6: Final answer
    x = 169.35

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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.