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Finding the Fourth Proportional to 182.02, 273.12 and 73.78

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Solution

The fourth proportional to 182.02, 273.12 and 73.78 is: 110.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.02 : 273.12 = 73.78 : x
  2. Step 2: Convert to fraction form
    182.02/273.12 = 73.78/x
  3. Step 3: Cross multiply
    182.02x = 273.12 × 73.78
  4. Step 4: Simplify right side
    182.02x = 20,150.79
  5. Step 5: Solve for x
    x = 20,150.79/182.02
  6. Step 6: Final answer
    x = 110.71

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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.