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Finding the Fourth Proportional to 283.90, 391.78 and 159.58

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Solution

The fourth proportional to 283.90, 391.78 and 159.58 is: 220.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.90 : 391.78 = 159.58 : x
  2. Step 2: Convert to fraction form
    283.90/391.78 = 159.58/x
  3. Step 3: Cross multiply
    283.90x = 391.78 × 159.58
  4. Step 4: Simplify right side
    283.90x = 62,520.25
  5. Step 5: Solve for x
    x = 62,520.25/283.90
  6. Step 6: Final answer
    x = 220.22

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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.