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Finding the Fourth Proportional to 197.97, 297.06 and 76.22

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Solution

The fourth proportional to 197.97, 297.06 and 76.22 is: 114.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.97 : 297.06 = 76.22 : x
  2. Step 2: Convert to fraction form
    197.97/297.06 = 76.22/x
  3. Step 3: Cross multiply
    197.97x = 297.06 × 76.22
  4. Step 4: Simplify right side
    197.97x = 22,641.91
  5. Step 5: Solve for x
    x = 22,641.91/197.97
  6. Step 6: Final answer
    x = 114.37

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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.