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Finding the Fourth Proportional to 182.14, 273.16 and 73.87

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Solution

The fourth proportional to 182.14, 273.16 and 73.87 is: 110.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.14 : 273.16 = 73.87 : x
  2. Step 2: Convert to fraction form
    182.14/273.16 = 73.87/x
  3. Step 3: Cross multiply
    182.14x = 273.16 × 73.87
  4. Step 4: Simplify right side
    182.14x = 20,178.33
  5. Step 5: Solve for x
    x = 20,178.33/182.14
  6. Step 6: Final answer
    x = 110.78

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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.