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Finding the Fourth Proportional to 305.78, 422.07 and 195.55

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Solution

The fourth proportional to 305.78, 422.07 and 195.55 is: 269.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.78 : 422.07 = 195.55 : x
  2. Step 2: Convert to fraction form
    305.78/422.07 = 195.55/x
  3. Step 3: Cross multiply
    305.78x = 422.07 × 195.55
  4. Step 4: Simplify right side
    305.78x = 82,537.05
  5. Step 5: Solve for x
    x = 82,537.05/305.78
  6. Step 6: Final answer
    x = 269.92

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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.