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Finding the Fourth Proportional to 293.72, 405.09 and 200.37

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Solution

The fourth proportional to 293.72, 405.09 and 200.37 is: 276.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.72 : 405.09 = 200.37 : x
  2. Step 2: Convert to fraction form
    293.72/405.09 = 200.37/x
  3. Step 3: Cross multiply
    293.72x = 405.09 × 200.37
  4. Step 4: Simplify right side
    293.72x = 81,167.12
  5. Step 5: Solve for x
    x = 81,167.12/293.72
  6. Step 6: Final answer
    x = 276.34

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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.