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Finding the Fourth Proportional to 293.28, 404.20 and 205.96

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Solution

The fourth proportional to 293.28, 404.20 and 205.96 is: 283.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.28 : 404.20 = 205.96 : x
  2. Step 2: Convert to fraction form
    293.28/404.20 = 205.96/x
  3. Step 3: Cross multiply
    293.28x = 404.20 × 205.96
  4. Step 4: Simplify right side
    293.28x = 83,249.03
  5. Step 5: Solve for x
    x = 83,249.03/293.28
  6. Step 6: Final answer
    x = 283.86

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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.