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Finding the Fourth Proportional to 182.42, 273.66 and 110.21

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Solution

The fourth proportional to 182.42, 273.66 and 110.21 is: 165.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.42 : 273.66 = 110.21 : x
  2. Step 2: Convert to fraction form
    182.42/273.66 = 110.21/x
  3. Step 3: Cross multiply
    182.42x = 273.66 × 110.21
  4. Step 4: Simplify right side
    182.42x = 30,160.07
  5. Step 5: Solve for x
    x = 30,160.07/182.42
  6. Step 6: Final answer
    x = 165.33

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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.