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Finding the Fourth Proportional to 231.92, 319.43 and 200.83

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Solution

The fourth proportional to 231.92, 319.43 and 200.83 is: 276.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.92 : 319.43 = 200.83 : x
  2. Step 2: Convert to fraction form
    231.92/319.43 = 200.83/x
  3. Step 3: Cross multiply
    231.92x = 319.43 × 200.83
  4. Step 4: Simplify right side
    231.92x = 64,151.13
  5. Step 5: Solve for x
    x = 64,151.13/231.92
  6. Step 6: Final answer
    x = 276.61

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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.