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Finding the Fourth Proportional to 182.39, 273.24 and 121.57

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Solution

The fourth proportional to 182.39, 273.24 and 121.57 is: 182.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.39 : 273.24 = 121.57 : x
  2. Step 2: Convert to fraction form
    182.39/273.24 = 121.57/x
  3. Step 3: Cross multiply
    182.39x = 273.24 × 121.57
  4. Step 4: Simplify right side
    182.39x = 33,217.10
  5. Step 5: Solve for x
    x = 33,217.10/182.39
  6. Step 6: Final answer
    x = 182.13

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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.