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Finding the Fourth Proportional to 283.72, 391.44 and 196.42

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Solution

The fourth proportional to 283.72, 391.44 and 196.42 is: 270.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.72 : 391.44 = 196.42 : x
  2. Step 2: Convert to fraction form
    283.72/391.44 = 196.42/x
  3. Step 3: Cross multiply
    283.72x = 391.44 × 196.42
  4. Step 4: Simplify right side
    283.72x = 76,886.64
  5. Step 5: Solve for x
    x = 76,886.64/283.72
  6. Step 6: Final answer
    x = 270.99

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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.