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Finding the Fourth Proportional to 197.98, 297.02 and 89.84

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Solution

The fourth proportional to 197.98, 297.02 and 89.84 is: 134.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.98 : 297.02 = 89.84 : x
  2. Step 2: Convert to fraction form
    197.98/297.02 = 89.84/x
  3. Step 3: Cross multiply
    197.98x = 297.02 × 89.84
  4. Step 4: Simplify right side
    197.98x = 26,684.28
  5. Step 5: Solve for x
    x = 26,684.28/197.98
  6. Step 6: Final answer
    x = 134.78

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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.