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Finding the Fourth Proportional to 197.94, 297.06 and 76.24

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Solution

The fourth proportional to 197.94, 297.06 and 76.24 is: 114.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.94 : 297.06 = 76.24 : x
  2. Step 2: Convert to fraction form
    197.94/297.06 = 76.24/x
  3. Step 3: Cross multiply
    197.94x = 297.06 × 76.24
  4. Step 4: Simplify right side
    197.94x = 22,647.85
  5. Step 5: Solve for x
    x = 22,647.85/197.94
  6. Step 6: Final answer
    x = 114.42

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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.