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Finding the Fourth Proportional to 182.74, 273.96 and 136.92

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Solution

The fourth proportional to 182.74, 273.96 and 136.92 is: 205.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.74 : 273.96 = 136.92 : x
  2. Step 2: Convert to fraction form
    182.74/273.96 = 136.92/x
  3. Step 3: Cross multiply
    182.74x = 273.96 × 136.92
  4. Step 4: Simplify right side
    182.74x = 37,510.60
  5. Step 5: Solve for x
    x = 37,510.60/182.74
  6. Step 6: Final answer
    x = 205.27

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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.