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Finding the Fourth Proportional to 183.28, 273.36 and 164.92

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Solution

The fourth proportional to 183.28, 273.36 and 164.92 is: 245.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.28 : 273.36 = 164.92 : x
  2. Step 2: Convert to fraction form
    183.28/273.36 = 164.92/x
  3. Step 3: Cross multiply
    183.28x = 273.36 × 164.92
  4. Step 4: Simplify right side
    183.28x = 45,082.53
  5. Step 5: Solve for x
    x = 45,082.53/183.28
  6. Step 6: Final answer
    x = 245.98

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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.