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Finding the Fourth Proportional to 293.44, 404.70 and 200.09

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Solution

The fourth proportional to 293.44, 404.70 and 200.09 is: 275.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.44 : 404.70 = 200.09 : x
  2. Step 2: Convert to fraction form
    293.44/404.70 = 200.09/x
  3. Step 3: Cross multiply
    293.44x = 404.70 × 200.09
  4. Step 4: Simplify right side
    293.44x = 80,976.42
  5. Step 5: Solve for x
    x = 80,976.42/293.44
  6. Step 6: Final answer
    x = 275.96

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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.