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Finding the Fourth Proportional to 197.78, 296.41 and 82.09

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Solution

The fourth proportional to 197.78, 296.41 and 82.09 is: 123.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.78 : 296.41 = 82.09 : x
  2. Step 2: Convert to fraction form
    197.78/296.41 = 82.09/x
  3. Step 3: Cross multiply
    197.78x = 296.41 × 82.09
  4. Step 4: Simplify right side
    197.78x = 24,332.30
  5. Step 5: Solve for x
    x = 24,332.30/197.78
  6. Step 6: Final answer
    x = 123.03

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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.