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Finding the Fourth Proportional to 300.52, 414.64 and 182.56

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Solution

The fourth proportional to 300.52, 414.64 and 182.56 is: 251.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.52 : 414.64 = 182.56 : x
  2. Step 2: Convert to fraction form
    300.52/414.64 = 182.56/x
  3. Step 3: Cross multiply
    300.52x = 414.64 × 182.56
  4. Step 4: Simplify right side
    300.52x = 75,696.68
  5. Step 5: Solve for x
    x = 75,696.68/300.52
  6. Step 6: Final answer
    x = 251.89

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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.