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Finding the Fourth Proportional to 183.64, 273.80 and 181.66

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Solution

The fourth proportional to 183.64, 273.80 and 181.66 is: 270.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.64 : 273.80 = 181.66 : x
  2. Step 2: Convert to fraction form
    183.64/273.80 = 181.66/x
  3. Step 3: Cross multiply
    183.64x = 273.80 × 181.66
  4. Step 4: Simplify right side
    183.64x = 49,738.51
  5. Step 5: Solve for x
    x = 49,738.51/183.64
  6. Step 6: Final answer
    x = 270.85

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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.