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Finding the Fourth Proportional to 300.82, 414.91 and 190.19

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Solution

The fourth proportional to 300.82, 414.91 and 190.19 is: 262.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.82 : 414.91 = 190.19 : x
  2. Step 2: Convert to fraction form
    300.82/414.91 = 190.19/x
  3. Step 3: Cross multiply
    300.82x = 414.91 × 190.19
  4. Step 4: Simplify right side
    300.82x = 78,909.66
  5. Step 5: Solve for x
    x = 78,909.66/300.82
  6. Step 6: Final answer
    x = 262.32

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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.