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Finding the Fourth Proportional to 300.36, 414.48 and 196.84

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Solution

The fourth proportional to 300.36, 414.48 and 196.84 is: 271.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.36 : 414.48 = 196.84 : x
  2. Step 2: Convert to fraction form
    300.36/414.48 = 196.84/x
  3. Step 3: Cross multiply
    300.36x = 414.48 × 196.84
  4. Step 4: Simplify right side
    300.36x = 81,586.24
  5. Step 5: Solve for x
    x = 81,586.24/300.36
  6. Step 6: Final answer
    x = 271.63

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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.