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Finding the Fourth Proportional to 299.98, 414.05 and 195.19

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Solution

The fourth proportional to 299.98, 414.05 and 195.19 is: 269.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.98 : 414.05 = 195.19 : x
  2. Step 2: Convert to fraction form
    299.98/414.05 = 195.19/x
  3. Step 3: Cross multiply
    299.98x = 414.05 × 195.19
  4. Step 4: Simplify right side
    299.98x = 80,818.42
  5. Step 5: Solve for x
    x = 80,818.42/299.98
  6. Step 6: Final answer
    x = 269.41

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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.