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Finding the Fourth Proportional to 197.72, 296.17 and 111.05

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Solution

The fourth proportional to 197.72, 296.17 and 111.05 is: 166.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.72 : 296.17 = 111.05 : x
  2. Step 2: Convert to fraction form
    197.72/296.17 = 111.05/x
  3. Step 3: Cross multiply
    197.72x = 296.17 × 111.05
  4. Step 4: Simplify right side
    197.72x = 32,887.92
  5. Step 5: Solve for x
    x = 32,887.92/197.72
  6. Step 6: Final answer
    x = 166.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.