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Finding the Fourth Proportional to 227.54, 314.01 and 161.27

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Solution

The fourth proportional to 227.54, 314.01 and 161.27 is: 222.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.54 : 314.01 = 161.27 : x
  2. Step 2: Convert to fraction form
    227.54/314.01 = 161.27/x
  3. Step 3: Cross multiply
    227.54x = 314.01 × 161.27
  4. Step 4: Simplify right side
    227.54x = 50,638.02
  5. Step 5: Solve for x
    x = 50,638.02/227.54
  6. Step 6: Final answer
    x = 222.55

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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.