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Finding the Fourth Proportional to 197.66, 296.49 and 69.41

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Solution

The fourth proportional to 197.66, 296.49 and 69.41 is: 104.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.66 : 296.49 = 69.41 : x
  2. Step 2: Convert to fraction form
    197.66/296.49 = 69.41/x
  3. Step 3: Cross multiply
    197.66x = 296.49 × 69.41
  4. Step 4: Simplify right side
    197.66x = 20,579.37
  5. Step 5: Solve for x
    x = 20,579.37/197.66
  6. Step 6: Final answer
    x = 104.12

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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.