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Finding the Fourth Proportional to 227.28, 342.42 and 206.46

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Solution

The fourth proportional to 227.28, 342.42 and 206.46 is: 311.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.28 : 342.42 = 206.46 : x
  2. Step 2: Convert to fraction form
    227.28/342.42 = 206.46/x
  3. Step 3: Cross multiply
    227.28x = 342.42 × 206.46
  4. Step 4: Simplify right side
    227.28x = 70,696.03
  5. Step 5: Solve for x
    x = 70,696.03/227.28
  6. Step 6: Final answer
    x = 311.05

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Why These Related Problems?

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