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Finding the Fourth Proportional to 293.64, 404.89 and 200.43

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Solution

The fourth proportional to 293.64, 404.89 and 200.43 is: 276.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.64 : 404.89 = 200.43 : x
  2. Step 2: Convert to fraction form
    293.64/404.89 = 200.43/x
  3. Step 3: Cross multiply
    293.64x = 404.89 × 200.43
  4. Step 4: Simplify right side
    293.64x = 81,153.30
  5. Step 5: Solve for x
    x = 81,153.30/293.64
  6. Step 6: Final answer
    x = 276.37

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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.