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Finding the Fourth Proportional to 293.27, 404.90 and 200.17

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Solution

The fourth proportional to 293.27, 404.90 and 200.17 is: 276.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.27 : 404.90 = 200.17 : x
  2. Step 2: Convert to fraction form
    293.27/404.90 = 200.17/x
  3. Step 3: Cross multiply
    293.27x = 404.90 × 200.17
  4. Step 4: Simplify right side
    293.27x = 81,049.09
  5. Step 5: Solve for x
    x = 81,049.09/293.27
  6. Step 6: Final answer
    x = 276.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.