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Finding the Fourth Proportional to 295.89, 408.36 and 197.82

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Solution

The fourth proportional to 295.89, 408.36 and 197.82 is: 273.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.89 : 408.36 = 197.82 : x
  2. Step 2: Convert to fraction form
    295.89/408.36 = 197.82/x
  3. Step 3: Cross multiply
    295.89x = 408.36 × 197.82
  4. Step 4: Simplify right side
    295.89x = 80,781.78
  5. Step 5: Solve for x
    x = 80,781.78/295.89
  6. Step 6: Final answer
    x = 273.01

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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.