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Finding the Fourth Proportional to 255.20, 352.50 and 197.69

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Solution

The fourth proportional to 255.20, 352.50 and 197.69 is: 273.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.20 : 352.50 = 197.69 : x
  2. Step 2: Convert to fraction form
    255.20/352.50 = 197.69/x
  3. Step 3: Cross multiply
    255.20x = 352.50 × 197.69
  4. Step 4: Simplify right side
    255.20x = 69,685.73
  5. Step 5: Solve for x
    x = 69,685.73/255.20
  6. Step 6: Final answer
    x = 273.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.