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Finding the Fourth Proportional to 197.97, 296.77 and 111.23

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Solution

The fourth proportional to 197.97, 296.77 and 111.23 is: 166.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.97 : 296.77 = 111.23 : x
  2. Step 2: Convert to fraction form
    197.97/296.77 = 111.23/x
  3. Step 3: Cross multiply
    197.97x = 296.77 × 111.23
  4. Step 4: Simplify right side
    197.97x = 33,008.24
  5. Step 5: Solve for x
    x = 33,008.24/197.97
  6. Step 6: Final answer
    x = 166.74

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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.