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Finding the Fourth Proportional to 283.55, 391.28 and 159.22

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Solution

The fourth proportional to 283.55, 391.28 and 159.22 is: 219.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.55 : 391.28 = 159.22 : x
  2. Step 2: Convert to fraction form
    283.55/391.28 = 159.22/x
  3. Step 3: Cross multiply
    283.55x = 391.28 × 159.22
  4. Step 4: Simplify right side
    283.55x = 62,299.60
  5. Step 5: Solve for x
    x = 62,299.60/283.55
  6. Step 6: Final answer
    x = 219.71

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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.