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Finding the Fourth Proportional to 227.85, 313.56 and 200.31

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Solution

The fourth proportional to 227.85, 313.56 and 200.31 is: 275.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.85 : 313.56 = 200.31 : x
  2. Step 2: Convert to fraction form
    227.85/313.56 = 200.31/x
  3. Step 3: Cross multiply
    227.85x = 313.56 × 200.31
  4. Step 4: Simplify right side
    227.85x = 62,809.20
  5. Step 5: Solve for x
    x = 62,809.20/227.85
  6. Step 6: Final answer
    x = 275.66

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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.