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Finding the Fourth Proportional to 249.48, 344.97 and 208.02

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Solution

The fourth proportional to 249.48, 344.97 and 208.02 is: 287.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.48 : 344.97 = 208.02 : x
  2. Step 2: Convert to fraction form
    249.48/344.97 = 208.02/x
  3. Step 3: Cross multiply
    249.48x = 344.97 × 208.02
  4. Step 4: Simplify right side
    249.48x = 71,760.66
  5. Step 5: Solve for x
    x = 71,760.66/249.48
  6. Step 6: Final answer
    x = 287.64

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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.