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Finding the Fourth Proportional to 183.88, 273.74 and 182.80

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Solution

The fourth proportional to 183.88, 273.74 and 182.80 is: 272.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.88 : 273.74 = 182.80 : x
  2. Step 2: Convert to fraction form
    183.88/273.74 = 182.80/x
  3. Step 3: Cross multiply
    183.88x = 273.74 × 182.80
  4. Step 4: Simplify right side
    183.88x = 50,039.67
  5. Step 5: Solve for x
    x = 50,039.67/183.88
  6. Step 6: Final answer
    x = 272.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.