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Finding the Fourth Proportional to 300.46, 414.56 and 182.34

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Solution

The fourth proportional to 300.46, 414.56 and 182.34 is: 251.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.46 : 414.56 = 182.34 : x
  2. Step 2: Convert to fraction form
    300.46/414.56 = 182.34/x
  3. Step 3: Cross multiply
    300.46x = 414.56 × 182.34
  4. Step 4: Simplify right side
    300.46x = 75,590.30
  5. Step 5: Solve for x
    x = 75,590.30/300.46
  6. Step 6: Final answer
    x = 251.58

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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.