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Finding the Fourth Proportional to 182.38, 273.04 and 159.82

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Solution

The fourth proportional to 182.38, 273.04 and 159.82 is: 239.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.38 : 273.04 = 159.82 : x
  2. Step 2: Convert to fraction form
    182.38/273.04 = 159.82/x
  3. Step 3: Cross multiply
    182.38x = 273.04 × 159.82
  4. Step 4: Simplify right side
    182.38x = 43,637.25
  5. Step 5: Solve for x
    x = 43,637.25/182.38
  6. Step 6: Final answer
    x = 239.27

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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.