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Finding the Fourth Proportional to 273.12, 409.44 and 136.23

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Solution

The fourth proportional to 273.12, 409.44 and 136.23 is: 204.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.12 : 409.44 = 136.23 : x
  2. Step 2: Convert to fraction form
    273.12/409.44 = 136.23/x
  3. Step 3: Cross multiply
    273.12x = 409.44 × 136.23
  4. Step 4: Simplify right side
    273.12x = 55,778.01
  5. Step 5: Solve for x
    x = 55,778.01/273.12
  6. Step 6: Final answer
    x = 204.23

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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.