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Finding the Fourth Proportional to 249.54, 344.28 and 161.11

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Solution

The fourth proportional to 249.54, 344.28 and 161.11 is: 222.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.54 : 344.28 = 161.11 : x
  2. Step 2: Convert to fraction form
    249.54/344.28 = 161.11/x
  3. Step 3: Cross multiply
    249.54x = 344.28 × 161.11
  4. Step 4: Simplify right side
    249.54x = 55,466.95
  5. Step 5: Solve for x
    x = 55,466.95/249.54
  6. Step 6: Final answer
    x = 222.28

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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.