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Finding the Fourth Proportional to 196.27, 270.86 and 122.56

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Solution

The fourth proportional to 196.27, 270.86 and 122.56 is: 169.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.27 : 270.86 = 122.56 : x
  2. Step 2: Convert to fraction form
    196.27/270.86 = 122.56/x
  3. Step 3: Cross multiply
    196.27x = 270.86 × 122.56
  4. Step 4: Simplify right side
    196.27x = 33,196.60
  5. Step 5: Solve for x
    x = 33,196.60/196.27
  6. Step 6: Final answer
    x = 169.14

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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.