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Finding the Fourth Proportional to 300.67, 414.63 and 182.66

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Solution

The fourth proportional to 300.67, 414.63 and 182.66 is: 251.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.67 : 414.63 = 182.66 : x
  2. Step 2: Convert to fraction form
    300.67/414.63 = 182.66/x
  3. Step 3: Cross multiply
    300.67x = 414.63 × 182.66
  4. Step 4: Simplify right side
    300.67x = 75,736.32
  5. Step 5: Solve for x
    x = 75,736.32/300.67
  6. Step 6: Final answer
    x = 251.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.