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Finding the Fourth Proportional to 300.97, 415.24 and 182.90

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Solution

The fourth proportional to 300.97, 415.24 and 182.90 is: 252.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.97 : 415.24 = 182.90 : x
  2. Step 2: Convert to fraction form
    300.97/415.24 = 182.90/x
  3. Step 3: Cross multiply
    300.97x = 415.24 × 182.90
  4. Step 4: Simplify right side
    300.97x = 75,946.42
  5. Step 5: Solve for x
    x = 75,946.42/300.97
  6. Step 6: Final answer
    x = 252.34

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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.