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Finding the Fourth Proportional to 273.15, 409.43 and 181.89

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Solution

The fourth proportional to 273.15, 409.43 and 181.89 is: 272.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.15 : 409.43 = 181.89 : x
  2. Step 2: Convert to fraction form
    273.15/409.43 = 181.89/x
  3. Step 3: Cross multiply
    273.15x = 409.43 × 181.89
  4. Step 4: Simplify right side
    273.15x = 74,470.31
  5. Step 5: Solve for x
    x = 74,470.31/273.15
  6. Step 6: Final answer
    x = 272.64

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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.