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Finding the Fourth Proportional to 227.62, 314.30 and 204.27

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Solution

The fourth proportional to 227.62, 314.30 and 204.27 is: 282.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.62 : 314.30 = 204.27 : x
  2. Step 2: Convert to fraction form
    227.62/314.30 = 204.27/x
  3. Step 3: Cross multiply
    227.62x = 314.30 × 204.27
  4. Step 4: Simplify right side
    227.62x = 64,202.06
  5. Step 5: Solve for x
    x = 64,202.06/227.62
  6. Step 6: Final answer
    x = 282.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.