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Finding the Fourth Proportional to 239.80, 330.24 and 196.24

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Solution

The fourth proportional to 239.80, 330.24 and 196.24 is: 270.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.80 : 330.24 = 196.24 : x
  2. Step 2: Convert to fraction form
    239.80/330.24 = 196.24/x
  3. Step 3: Cross multiply
    239.80x = 330.24 × 196.24
  4. Step 4: Simplify right side
    239.80x = 64,806.30
  5. Step 5: Solve for x
    x = 64,806.30/239.80
  6. Step 6: Final answer
    x = 270.25

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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.