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Finding the Fourth Proportional to 300.24, 414.54 and 195.39

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Solution

The fourth proportional to 300.24, 414.54 and 195.39 is: 269.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.24 : 414.54 = 195.39 : x
  2. Step 2: Convert to fraction form
    300.24/414.54 = 195.39/x
  3. Step 3: Cross multiply
    300.24x = 414.54 × 195.39
  4. Step 4: Simplify right side
    300.24x = 80,996.97
  5. Step 5: Solve for x
    x = 80,996.97/300.24
  6. Step 6: Final answer
    x = 269.77

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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.