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Finding the Fourth Proportional to 283.89, 391.69 and 195.42

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Solution

The fourth proportional to 283.89, 391.69 and 195.42 is: 269.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.89 : 391.69 = 195.42 : x
  2. Step 2: Convert to fraction form
    283.89/391.69 = 195.42/x
  3. Step 3: Cross multiply
    283.89x = 391.69 × 195.42
  4. Step 4: Simplify right side
    283.89x = 76,544.06
  5. Step 5: Solve for x
    x = 76,544.06/283.89
  6. Step 6: Final answer
    x = 269.63

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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.