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Finding the Fourth Proportional to 182.73, 274.41 and 163.65

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Solution

The fourth proportional to 182.73, 274.41 and 163.65 is: 245.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.73 : 274.41 = 163.65 : x
  2. Step 2: Convert to fraction form
    182.73/274.41 = 163.65/x
  3. Step 3: Cross multiply
    182.73x = 274.41 × 163.65
  4. Step 4: Simplify right side
    182.73x = 44,907.20
  5. Step 5: Solve for x
    x = 44,907.20/182.73
  6. Step 6: Final answer
    x = 245.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.