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Finding the Fourth Proportional to 283.91, 391.69 and 200.83

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Solution

The fourth proportional to 283.91, 391.69 and 200.83 is: 277.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.91 : 391.69 = 200.83 : x
  2. Step 2: Convert to fraction form
    283.91/391.69 = 200.83/x
  3. Step 3: Cross multiply
    283.91x = 391.69 × 200.83
  4. Step 4: Simplify right side
    283.91x = 78,661.98
  5. Step 5: Solve for x
    x = 78,661.98/283.91
  6. Step 6: Final answer
    x = 277.07

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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.