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Finding the Fourth Proportional to 227.28, 315.08 and 219.72

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Solution

The fourth proportional to 227.28, 315.08 and 219.72 is: 304.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.28 : 315.08 = 219.72 : x
  2. Step 2: Convert to fraction form
    227.28/315.08 = 219.72/x
  3. Step 3: Cross multiply
    227.28x = 315.08 × 219.72
  4. Step 4: Simplify right side
    227.28x = 69,229.38
  5. Step 5: Solve for x
    x = 69,229.38/227.28
  6. Step 6: Final answer
    x = 304.60

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.