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Finding the Fourth Proportional to 295.97, 408.57 and 197.78

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Solution

The fourth proportional to 295.97, 408.57 and 197.78 is: 273.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.97 : 408.57 = 197.78 : x
  2. Step 2: Convert to fraction form
    295.97/408.57 = 197.78/x
  3. Step 3: Cross multiply
    295.97x = 408.57 × 197.78
  4. Step 4: Simplify right side
    295.97x = 80,808.00
  5. Step 5: Solve for x
    x = 80,808.00/295.97
  6. Step 6: Final answer
    x = 273.03

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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.