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Finding the Fourth Proportional to 249.44, 373.78 and 181.10

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Solution

The fourth proportional to 249.44, 373.78 and 181.10 is: 271.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.44 : 373.78 = 181.10 : x
  2. Step 2: Convert to fraction form
    249.44/373.78 = 181.10/x
  3. Step 3: Cross multiply
    249.44x = 373.78 × 181.10
  4. Step 4: Simplify right side
    249.44x = 67,691.56
  5. Step 5: Solve for x
    x = 67,691.56/249.44
  6. Step 6: Final answer
    x = 271.37

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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.