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Finding the Fourth Proportional to 300.63, 414.85 and 195.78

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Solution

The fourth proportional to 300.63, 414.85 and 195.78 is: 270.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.63 : 414.85 = 195.78 : x
  2. Step 2: Convert to fraction form
    300.63/414.85 = 195.78/x
  3. Step 3: Cross multiply
    300.63x = 414.85 × 195.78
  4. Step 4: Simplify right side
    300.63x = 81,219.33
  5. Step 5: Solve for x
    x = 81,219.33/300.63
  6. Step 6: Final answer
    x = 270.16

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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.