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Finding the Fourth Proportional to 197.11, 272.04 and 113.11

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Solution

The fourth proportional to 197.11, 272.04 and 113.11 is: 156.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.11 : 272.04 = 113.11 : x
  2. Step 2: Convert to fraction form
    197.11/272.04 = 113.11/x
  3. Step 3: Cross multiply
    197.11x = 272.04 × 113.11
  4. Step 4: Simplify right side
    197.11x = 30,769.76
  5. Step 5: Solve for x
    x = 30,769.76/197.11
  6. Step 6: Final answer
    x = 156.10

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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.