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Finding the Fourth Proportional to 182.14, 273.36 and 121.31

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Solution

The fourth proportional to 182.14, 273.36 and 121.31 is: 182.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.14 : 273.36 = 121.31 : x
  2. Step 2: Convert to fraction form
    182.14/273.36 = 121.31/x
  3. Step 3: Cross multiply
    182.14x = 273.36 × 121.31
  4. Step 4: Simplify right side
    182.14x = 33,161.99
  5. Step 5: Solve for x
    x = 33,161.99/182.14
  6. Step 6: Final answer
    x = 182.07

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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.