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Finding the Fourth Proportional to 182.56, 273.31 and 105.38

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Solution

The fourth proportional to 182.56, 273.31 and 105.38 is: 157.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.56 : 273.31 = 105.38 : x
  2. Step 2: Convert to fraction form
    182.56/273.31 = 105.38/x
  3. Step 3: Cross multiply
    182.56x = 273.31 × 105.38
  4. Step 4: Simplify right side
    182.56x = 28,801.41
  5. Step 5: Solve for x
    x = 28,801.41/182.56
  6. Step 6: Final answer
    x = 157.76

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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.