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Finding the Fourth Proportional to 240.24, 331.84 and 198.96

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Solution

The fourth proportional to 240.24, 331.84 and 198.96 is: 274.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.24 : 331.84 = 198.96 : x
  2. Step 2: Convert to fraction form
    240.24/331.84 = 198.96/x
  3. Step 3: Cross multiply
    240.24x = 331.84 × 198.96
  4. Step 4: Simplify right side
    240.24x = 66,022.89
  5. Step 5: Solve for x
    x = 66,022.89/240.24
  6. Step 6: Final answer
    x = 274.82

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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.