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Finding the Fourth Proportional to 249.78, 344.34 and 194.16

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Solution

The fourth proportional to 249.78, 344.34 and 194.16 is: 267.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.78 : 344.34 = 194.16 : x
  2. Step 2: Convert to fraction form
    249.78/344.34 = 194.16/x
  3. Step 3: Cross multiply
    249.78x = 344.34 × 194.16
  4. Step 4: Simplify right side
    249.78x = 66,857.05
  5. Step 5: Solve for x
    x = 66,857.05/249.78
  6. Step 6: Final answer
    x = 267.66

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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.