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Finding the Fourth Proportional to 300.82, 451.31 and 183.82

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Solution

The fourth proportional to 300.82, 451.31 and 183.82 is: 275.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.82 : 451.31 = 183.82 : x
  2. Step 2: Convert to fraction form
    300.82/451.31 = 183.82/x
  3. Step 3: Cross multiply
    300.82x = 451.31 × 183.82
  4. Step 4: Simplify right side
    300.82x = 82,959.80
  5. Step 5: Solve for x
    x = 82,959.80/300.82
  6. Step 6: Final answer
    x = 275.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.