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Finding the Fourth Proportional to 182.70, 273.69 and 164.49

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Solution

The fourth proportional to 182.70, 273.69 and 164.49 is: 246.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.70 : 273.69 = 164.49 : x
  2. Step 2: Convert to fraction form
    182.70/273.69 = 164.49/x
  3. Step 3: Cross multiply
    182.70x = 273.69 × 164.49
  4. Step 4: Simplify right side
    182.70x = 45,019.27
  5. Step 5: Solve for x
    x = 45,019.27/182.70
  6. Step 6: Final answer
    x = 246.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.