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Finding the Fourth Proportional to 182.22, 273.33 and 109.14

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Solution

The fourth proportional to 182.22, 273.33 and 109.14 is: 163.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.22 : 273.33 = 109.14 : x
  2. Step 2: Convert to fraction form
    182.22/273.33 = 109.14/x
  3. Step 3: Cross multiply
    182.22x = 273.33 × 109.14
  4. Step 4: Simplify right side
    182.22x = 29,831.24
  5. Step 5: Solve for x
    x = 29,831.24/182.22
  6. Step 6: Final answer
    x = 163.71

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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.