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Finding the Fourth Proportional to 300.98, 415.08 and 190.27

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Solution

The fourth proportional to 300.98, 415.08 and 190.27 is: 262.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.98 : 415.08 = 190.27 : x
  2. Step 2: Convert to fraction form
    300.98/415.08 = 190.27/x
  3. Step 3: Cross multiply
    300.98x = 415.08 × 190.27
  4. Step 4: Simplify right side
    300.98x = 78,974.24
  5. Step 5: Solve for x
    x = 78,974.24/300.98
  6. Step 6: Final answer
    x = 262.39

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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.