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Finding the Fourth Proportional to 196.76, 271.65 and 122.15

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Solution

The fourth proportional to 196.76, 271.65 and 122.15 is: 168.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.76 : 271.65 = 122.15 : x
  2. Step 2: Convert to fraction form
    196.76/271.65 = 122.15/x
  3. Step 3: Cross multiply
    196.76x = 271.65 × 122.15
  4. Step 4: Simplify right side
    196.76x = 33,181.73
  5. Step 5: Solve for x
    x = 33,181.73/196.76
  6. Step 6: Final answer
    x = 168.64

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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.