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Finding the Fourth Proportional to 227.91, 343.39 and 206.27

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Solution

The fourth proportional to 227.91, 343.39 and 206.27 is: 310.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.91 : 343.39 = 206.27 : x
  2. Step 2: Convert to fraction form
    227.91/343.39 = 206.27/x
  3. Step 3: Cross multiply
    227.91x = 343.39 × 206.27
  4. Step 4: Simplify right side
    227.91x = 70,831.06
  5. Step 5: Solve for x
    x = 70,831.06/227.91
  6. Step 6: Final answer
    x = 310.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.