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Finding the Fourth Proportional to 273.00, 408.96 and 136.16

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Solution

The fourth proportional to 273.00, 408.96 and 136.16 is: 203.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.00 : 408.96 = 136.16 : x
  2. Step 2: Convert to fraction form
    273.00/408.96 = 136.16/x
  3. Step 3: Cross multiply
    273.00x = 408.96 × 136.16
  4. Step 4: Simplify right side
    273.00x = 55,682.52
  5. Step 5: Solve for x
    x = 55,682.52/273.00
  6. Step 6: Final answer
    x = 203.97

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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.