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Finding the Fourth Proportional to 182.24, 273.54 and 166.04

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Solution

The fourth proportional to 182.24, 273.54 and 166.04 is: 249.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.24 : 273.54 = 166.04 : x
  2. Step 2: Convert to fraction form
    182.24/273.54 = 166.04/x
  3. Step 3: Cross multiply
    182.24x = 273.54 × 166.04
  4. Step 4: Simplify right side
    182.24x = 45,418.58
  5. Step 5: Solve for x
    x = 45,418.58/182.24
  6. Step 6: Final answer
    x = 249.22

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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.