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Finding the Fourth Proportional to 182.51, 273.94 and 91.27

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Solution

The fourth proportional to 182.51, 273.94 and 91.27 is: 136.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.51 : 273.94 = 91.27 : x
  2. Step 2: Convert to fraction form
    182.51/273.94 = 91.27/x
  3. Step 3: Cross multiply
    182.51x = 273.94 × 91.27
  4. Step 4: Simplify right side
    182.51x = 25,002.62
  5. Step 5: Solve for x
    x = 25,002.62/182.51
  6. Step 6: Final answer
    x = 136.99

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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.