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Finding the Fourth Proportional to 330.97, 496.78 and 166.55

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Solution

The fourth proportional to 330.97, 496.78 and 166.55 is: 249.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.97 : 496.78 = 166.55 : x
  2. Step 2: Convert to fraction form
    330.97/496.78 = 166.55/x
  3. Step 3: Cross multiply
    330.97x = 496.78 × 166.55
  4. Step 4: Simplify right side
    330.97x = 82,738.71
  5. Step 5: Solve for x
    x = 82,738.71/330.97
  6. Step 6: Final answer
    x = 249.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.