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Finding the Fourth Proportional to 293.26, 404.85 and 200.02

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Solution

The fourth proportional to 293.26, 404.85 and 200.02 is: 276.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.26 : 404.85 = 200.02 : x
  2. Step 2: Convert to fraction form
    293.26/404.85 = 200.02/x
  3. Step 3: Cross multiply
    293.26x = 404.85 × 200.02
  4. Step 4: Simplify right side
    293.26x = 80,978.10
  5. Step 5: Solve for x
    x = 80,978.10/293.26
  6. Step 6: Final answer
    x = 276.13

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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.