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Finding the Fourth Proportional to 227.20, 313.69 and 143.21

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Solution

The fourth proportional to 227.20, 313.69 and 143.21 is: 197.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.20 : 313.69 = 143.21 : x
  2. Step 2: Convert to fraction form
    227.20/313.69 = 143.21/x
  3. Step 3: Cross multiply
    227.20x = 313.69 × 143.21
  4. Step 4: Simplify right side
    227.20x = 44,923.54
  5. Step 5: Solve for x
    x = 44,923.54/227.20
  6. Step 6: Final answer
    x = 197.73

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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.