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Finding the Fourth Proportional to 227.91, 340.22 and 211.84

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Solution

The fourth proportional to 227.91, 340.22 and 211.84 is: 316.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.91 : 340.22 = 211.84 : x
  2. Step 2: Convert to fraction form
    227.91/340.22 = 211.84/x
  3. Step 3: Cross multiply
    227.91x = 340.22 × 211.84
  4. Step 4: Simplify right side
    227.91x = 72,072.20
  5. Step 5: Solve for x
    x = 72,072.20/227.91
  6. Step 6: Final answer
    x = 316.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.