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Finding the Fourth Proportional to 249.83, 344.74 and 161.44

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Solution

The fourth proportional to 249.83, 344.74 and 161.44 is: 222.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.83 : 344.74 = 161.44 : x
  2. Step 2: Convert to fraction form
    249.83/344.74 = 161.44/x
  3. Step 3: Cross multiply
    249.83x = 344.74 × 161.44
  4. Step 4: Simplify right side
    249.83x = 55,655.23
  5. Step 5: Solve for x
    x = 55,655.23/249.83
  6. Step 6: Final answer
    x = 222.77

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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.