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Finding the Fourth Proportional to 283.58, 391.30 and 159.24

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Solution

The fourth proportional to 283.58, 391.30 and 159.24 is: 219.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.58 : 391.30 = 159.24 : x
  2. Step 2: Convert to fraction form
    283.58/391.30 = 159.24/x
  3. Step 3: Cross multiply
    283.58x = 391.30 × 159.24
  4. Step 4: Simplify right side
    283.58x = 62,310.61
  5. Step 5: Solve for x
    x = 62,310.61/283.58
  6. Step 6: Final answer
    x = 219.73

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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.