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Finding the Fourth Proportional to 300.02, 414.08 and 195.09

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Solution

The fourth proportional to 300.02, 414.08 and 195.09 is: 269.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.02 : 414.08 = 195.09 : x
  2. Step 2: Convert to fraction form
    300.02/414.08 = 195.09/x
  3. Step 3: Cross multiply
    300.02x = 414.08 × 195.09
  4. Step 4: Simplify right side
    300.02x = 80,781.89
  5. Step 5: Solve for x
    x = 80,781.89/300.02
  6. Step 6: Final answer
    x = 269.26

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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.