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Finding the Fourth Proportional to 182.39, 273.65 and 105.44

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Solution

The fourth proportional to 182.39, 273.65 and 105.44 is: 158.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.39 : 273.65 = 105.44 : x
  2. Step 2: Convert to fraction form
    182.39/273.65 = 105.44/x
  3. Step 3: Cross multiply
    182.39x = 273.65 × 105.44
  4. Step 4: Simplify right side
    182.39x = 28,851.76
  5. Step 5: Solve for x
    x = 28,851.76/182.39
  6. Step 6: Final answer
    x = 158.19

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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.