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Finding the Fourth Proportional to 300.72, 415.17 and 195.84

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Solution

The fourth proportional to 300.72, 415.17 and 195.84 is: 270.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.72 : 415.17 = 195.84 : x
  2. Step 2: Convert to fraction form
    300.72/415.17 = 195.84/x
  3. Step 3: Cross multiply
    300.72x = 415.17 × 195.84
  4. Step 4: Simplify right side
    300.72x = 81,306.89
  5. Step 5: Solve for x
    x = 81,306.89/300.72
  6. Step 6: Final answer
    x = 270.37

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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.