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Finding the Fourth Proportional to 300.78, 414.78 and 195.75

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Solution

The fourth proportional to 300.78, 414.78 and 195.75 is: 269.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.78 : 414.78 = 195.75 : x
  2. Step 2: Convert to fraction form
    300.78/414.78 = 195.75/x
  3. Step 3: Cross multiply
    300.78x = 414.78 × 195.75
  4. Step 4: Simplify right side
    300.78x = 81,193.19
  5. Step 5: Solve for x
    x = 81,193.19/300.78
  6. Step 6: Final answer
    x = 269.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.