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Finding the Fourth Proportional to 227.28, 311.96 and 202.16

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Solution

The fourth proportional to 227.28, 311.96 and 202.16 is: 277.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.28 : 311.96 = 202.16 : x
  2. Step 2: Convert to fraction form
    227.28/311.96 = 202.16/x
  3. Step 3: Cross multiply
    227.28x = 311.96 × 202.16
  4. Step 4: Simplify right side
    227.28x = 63,065.83
  5. Step 5: Solve for x
    x = 63,065.83/227.28
  6. Step 6: Final answer
    x = 277.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.