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Finding the Fourth Proportional to 300.49, 414.74 and 182.48

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Solution

The fourth proportional to 300.49, 414.74 and 182.48 is: 251.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.49 : 414.74 = 182.48 : x
  2. Step 2: Convert to fraction form
    300.49/414.74 = 182.48/x
  3. Step 3: Cross multiply
    300.49x = 414.74 × 182.48
  4. Step 4: Simplify right side
    300.49x = 75,680.14
  5. Step 5: Solve for x
    x = 75,680.14/300.49
  6. Step 6: Final answer
    x = 251.86

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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.