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Finding the Fourth Proportional to 249.86, 344.84 and 208.35

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Solution

The fourth proportional to 249.86, 344.84 and 208.35 is: 287.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.86 : 344.84 = 208.35 : x
  2. Step 2: Convert to fraction form
    249.86/344.84 = 208.35/x
  3. Step 3: Cross multiply
    249.86x = 344.84 × 208.35
  4. Step 4: Simplify right side
    249.86x = 71,846.37
  5. Step 5: Solve for x
    x = 71,846.37/249.86
  6. Step 6: Final answer
    x = 287.55

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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.