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Finding the Fourth Proportional to 270.71, 406.16 and 197.66

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Solution

The fourth proportional to 270.71, 406.16 and 197.66 is: 296.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.71 : 406.16 = 197.66 : x
  2. Step 2: Convert to fraction form
    270.71/406.16 = 197.66/x
  3. Step 3: Cross multiply
    270.71x = 406.16 × 197.66
  4. Step 4: Simplify right side
    270.71x = 80,278.57
  5. Step 5: Solve for x
    x = 80,278.57/270.71
  6. Step 6: Final answer
    x = 296.55

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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.