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Finding the Fourth Proportional to 283.78, 391.62 and 159.44

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Solution

The fourth proportional to 283.78, 391.62 and 159.44 is: 220.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.78 : 391.62 = 159.44 : x
  2. Step 2: Convert to fraction form
    283.78/391.62 = 159.44/x
  3. Step 3: Cross multiply
    283.78x = 391.62 × 159.44
  4. Step 4: Simplify right side
    283.78x = 62,438.12
  5. Step 5: Solve for x
    x = 62,438.12/283.78
  6. Step 6: Final answer
    x = 220.02

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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.