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Finding the Fourth Proportional to 249.63, 374.49 and 76.31

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Solution

The fourth proportional to 249.63, 374.49 and 76.31 is: 114.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.63 : 374.49 = 76.31 : x
  2. Step 2: Convert to fraction form
    249.63/374.49 = 76.31/x
  3. Step 3: Cross multiply
    249.63x = 374.49 × 76.31
  4. Step 4: Simplify right side
    249.63x = 28,577.33
  5. Step 5: Solve for x
    x = 28,577.33/249.63
  6. Step 6: Final answer
    x = 114.48

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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.