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Finding the Fourth Proportional to 196.64, 271.35 and 122.97

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Solution

The fourth proportional to 196.64, 271.35 and 122.97 is: 169.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.64 : 271.35 = 122.97 : x
  2. Step 2: Convert to fraction form
    196.64/271.35 = 122.97/x
  3. Step 3: Cross multiply
    196.64x = 271.35 × 122.97
  4. Step 4: Simplify right side
    196.64x = 33,367.91
  5. Step 5: Solve for x
    x = 33,367.91/196.64
  6. Step 6: Final answer
    x = 169.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.