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Finding the Fourth Proportional to 283.96, 391.86 and 159.66

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Solution

The fourth proportional to 283.96, 391.86 and 159.66 is: 220.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.96 : 391.86 = 159.66 : x
  2. Step 2: Convert to fraction form
    283.96/391.86 = 159.66/x
  3. Step 3: Cross multiply
    283.96x = 391.86 × 159.66
  4. Step 4: Simplify right side
    283.96x = 62,562.41
  5. Step 5: Solve for x
    x = 62,562.41/283.96
  6. Step 6: Final answer
    x = 220.33

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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.