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Finding the Fourth Proportional to 295.71, 408.09 and 197.66

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Solution

The fourth proportional to 295.71, 408.09 and 197.66 is: 272.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.71 : 408.09 = 197.66 : x
  2. Step 2: Convert to fraction form
    295.71/408.09 = 197.66/x
  3. Step 3: Cross multiply
    295.71x = 408.09 × 197.66
  4. Step 4: Simplify right side
    295.71x = 80,663.07
  5. Step 5: Solve for x
    x = 80,663.07/295.71
  6. Step 6: Final answer
    x = 272.78

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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.