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Finding the Fourth Proportional to 197.78, 296.73 and 132.03

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Solution

The fourth proportional to 197.78, 296.73 and 132.03 is: 198.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.78 : 296.73 = 132.03 : x
  2. Step 2: Convert to fraction form
    197.78/296.73 = 132.03/x
  3. Step 3: Cross multiply
    197.78x = 296.73 × 132.03
  4. Step 4: Simplify right side
    197.78x = 39,177.26
  5. Step 5: Solve for x
    x = 39,177.26/197.78
  6. Step 6: Final answer
    x = 198.09

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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.