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Finding the Fourth Proportional to 273.16, 409.39 and 182.03

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Solution

The fourth proportional to 273.16, 409.39 and 182.03 is: 272.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.16 : 409.39 = 182.03 : x
  2. Step 2: Convert to fraction form
    273.16/409.39 = 182.03/x
  3. Step 3: Cross multiply
    273.16x = 409.39 × 182.03
  4. Step 4: Simplify right side
    273.16x = 74,520.35
  5. Step 5: Solve for x
    x = 74,520.35/273.16
  6. Step 6: Final answer
    x = 272.81

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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.