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Finding the Fourth Proportional to 273.15, 376.92 and 161.12

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Solution

The fourth proportional to 273.15, 376.92 and 161.12 is: 222.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.15 : 376.92 = 161.12 : x
  2. Step 2: Convert to fraction form
    273.15/376.92 = 161.12/x
  3. Step 3: Cross multiply
    273.15x = 376.92 × 161.12
  4. Step 4: Simplify right side
    273.15x = 60,727.47
  5. Step 5: Solve for x
    x = 60,727.47/273.15
  6. Step 6: Final answer
    x = 222.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.