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Finding the Fourth Proportional to 197.84, 296.90 and 69.59

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Solution

The fourth proportional to 197.84, 296.90 and 69.59 is: 104.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.84 : 296.90 = 69.59 : x
  2. Step 2: Convert to fraction form
    197.84/296.90 = 69.59/x
  3. Step 3: Cross multiply
    197.84x = 296.90 × 69.59
  4. Step 4: Simplify right side
    197.84x = 20,661.27
  5. Step 5: Solve for x
    x = 20,661.27/197.84
  6. Step 6: Final answer
    x = 104.43

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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.