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Finding the Fourth Proportional to 182.26, 273.42 and 74.06

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Solution

The fourth proportional to 182.26, 273.42 and 74.06 is: 111.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.26 : 273.42 = 74.06 : x
  2. Step 2: Convert to fraction form
    182.26/273.42 = 74.06/x
  3. Step 3: Cross multiply
    182.26x = 273.42 × 74.06
  4. Step 4: Simplify right side
    182.26x = 20,249.49
  5. Step 5: Solve for x
    x = 20,249.49/182.26
  6. Step 6: Final answer
    x = 111.10

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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.