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Finding the Fourth Proportional to 305.76, 422.07 and 195.33

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Solution

The fourth proportional to 305.76, 422.07 and 195.33 is: 269.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.76 : 422.07 = 195.33 : x
  2. Step 2: Convert to fraction form
    305.76/422.07 = 195.33/x
  3. Step 3: Cross multiply
    305.76x = 422.07 × 195.33
  4. Step 4: Simplify right side
    305.76x = 82,442.93
  5. Step 5: Solve for x
    x = 82,442.93/305.76
  6. Step 6: Final answer
    x = 269.63

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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.