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Finding the Fourth Proportional to 293.36, 404.69 and 200.03

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Solution

The fourth proportional to 293.36, 404.69 and 200.03 is: 275.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.36 : 404.69 = 200.03 : x
  2. Step 2: Convert to fraction form
    293.36/404.69 = 200.03/x
  3. Step 3: Cross multiply
    293.36x = 404.69 × 200.03
  4. Step 4: Simplify right side
    293.36x = 80,947.12
  5. Step 5: Solve for x
    x = 80,947.12/293.36
  6. Step 6: Final answer
    x = 275.94

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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.