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Finding the Fourth Proportional to 183.42, 273.66 and 166.14

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Solution

The fourth proportional to 183.42, 273.66 and 166.14 is: 247.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.42 : 273.66 = 166.14 : x
  2. Step 2: Convert to fraction form
    183.42/273.66 = 166.14/x
  3. Step 3: Cross multiply
    183.42x = 273.66 × 166.14
  4. Step 4: Simplify right side
    183.42x = 45,465.87
  5. Step 5: Solve for x
    x = 45,465.87/183.42
  6. Step 6: Final answer
    x = 247.88

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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.