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Finding the Fourth Proportional to 197.10, 269.98 and 196.56

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Solution

The fourth proportional to 197.10, 269.98 and 196.56 is: 269.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.10 : 269.98 = 196.56 : x
  2. Step 2: Convert to fraction form
    197.10/269.98 = 196.56/x
  3. Step 3: Cross multiply
    197.10x = 269.98 × 196.56
  4. Step 4: Simplify right side
    197.10x = 53,066.78
  5. Step 5: Solve for x
    x = 53,066.78/197.10
  6. Step 6: Final answer
    x = 269.24

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.