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Finding the Fourth Proportional to 293.26, 404.22 and 205.78

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Solution

The fourth proportional to 293.26, 404.22 and 205.78 is: 283.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.26 : 404.22 = 205.78 : x
  2. Step 2: Convert to fraction form
    293.26/404.22 = 205.78/x
  3. Step 3: Cross multiply
    293.26x = 404.22 × 205.78
  4. Step 4: Simplify right side
    293.26x = 83,180.39
  5. Step 5: Solve for x
    x = 83,180.39/293.26
  6. Step 6: Final answer
    x = 283.64

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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.