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Finding the Fourth Proportional to 249.21, 344.01 and 161.91

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Solution

The fourth proportional to 249.21, 344.01 and 161.91 is: 223.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.21 : 344.01 = 161.91 : x
  2. Step 2: Convert to fraction form
    249.21/344.01 = 161.91/x
  3. Step 3: Cross multiply
    249.21x = 344.01 × 161.91
  4. Step 4: Simplify right side
    249.21x = 55,698.66
  5. Step 5: Solve for x
    x = 55,698.66/249.21
  6. Step 6: Final answer
    x = 223.50

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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.