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Finding the Fourth Proportional to 283.89, 391.33 and 200.87

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Solution

The fourth proportional to 283.89, 391.33 and 200.87 is: 276.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.89 : 391.33 = 200.87 : x
  2. Step 2: Convert to fraction form
    283.89/391.33 = 200.87/x
  3. Step 3: Cross multiply
    283.89x = 391.33 × 200.87
  4. Step 4: Simplify right side
    283.89x = 78,606.46
  5. Step 5: Solve for x
    x = 78,606.46/283.89
  6. Step 6: Final answer
    x = 276.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.