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Finding the Fourth Proportional to 196.11, 272.53 and 194.13

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Solution

The fourth proportional to 196.11, 272.53 and 194.13 is: 269.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.11 : 272.53 = 194.13 : x
  2. Step 2: Convert to fraction form
    196.11/272.53 = 194.13/x
  3. Step 3: Cross multiply
    196.11x = 272.53 × 194.13
  4. Step 4: Simplify right side
    196.11x = 52,906.25
  5. Step 5: Solve for x
    x = 52,906.25/196.11
  6. Step 6: Final answer
    x = 269.78

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.