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Finding the Fourth Proportional to 249.58, 344.22 and 205.84

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Solution

The fourth proportional to 249.58, 344.22 and 205.84 is: 283.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.58 : 344.22 = 205.84 : x
  2. Step 2: Convert to fraction form
    249.58/344.22 = 205.84/x
  3. Step 3: Cross multiply
    249.58x = 344.22 × 205.84
  4. Step 4: Simplify right side
    249.58x = 70,854.24
  5. Step 5: Solve for x
    x = 70,854.24/249.58
  6. Step 6: Final answer
    x = 283.89

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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.