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Finding the Fourth Proportional to 227.43, 313.74 and 161.82

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Solution

The fourth proportional to 227.43, 313.74 and 161.82 is: 223.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.43 : 313.74 = 161.82 : x
  2. Step 2: Convert to fraction form
    227.43/313.74 = 161.82/x
  3. Step 3: Cross multiply
    227.43x = 313.74 × 161.82
  4. Step 4: Simplify right side
    227.43x = 50,769.41
  5. Step 5: Solve for x
    x = 50,769.41/227.43
  6. Step 6: Final answer
    x = 223.23

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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.