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Finding the Fourth Proportional to 249.30, 373.82 and 112.19

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Solution

The fourth proportional to 249.30, 373.82 and 112.19 is: 168.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.30 : 373.82 = 112.19 : x
  2. Step 2: Convert to fraction form
    249.30/373.82 = 112.19/x
  3. Step 3: Cross multiply
    249.30x = 373.82 × 112.19
  4. Step 4: Simplify right side
    249.30x = 41,936.44
  5. Step 5: Solve for x
    x = 41,936.44/249.30
  6. Step 6: Final answer
    x = 168.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.