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Finding the Fourth Proportional to 183.64, 273.69 and 182.13

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Solution

The fourth proportional to 183.64, 273.69 and 182.13 is: 271.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.64 : 273.69 = 182.13 : x
  2. Step 2: Convert to fraction form
    183.64/273.69 = 182.13/x
  3. Step 3: Cross multiply
    183.64x = 273.69 × 182.13
  4. Step 4: Simplify right side
    183.64x = 49,847.16
  5. Step 5: Solve for x
    x = 49,847.16/183.64
  6. Step 6: Final answer
    x = 271.44

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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.