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Finding the Fourth Proportional to 284.02, 391.97 and 159.68

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Solution

The fourth proportional to 284.02, 391.97 and 159.68 is: 220.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.02 : 391.97 = 159.68 : x
  2. Step 2: Convert to fraction form
    284.02/391.97 = 159.68/x
  3. Step 3: Cross multiply
    284.02x = 391.97 × 159.68
  4. Step 4: Simplify right side
    284.02x = 62,589.77
  5. Step 5: Solve for x
    x = 62,589.77/284.02
  6. Step 6: Final answer
    x = 220.37

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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.