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Finding the Fourth Proportional to 171.27, 236.46 and 131.86

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Solution

The fourth proportional to 171.27, 236.46 and 131.86 is: 182.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.27 : 236.46 = 131.86 : x
  2. Step 2: Convert to fraction form
    171.27/236.46 = 131.86/x
  3. Step 3: Cross multiply
    171.27x = 236.46 × 131.86
  4. Step 4: Simplify right side
    171.27x = 31,179.62
  5. Step 5: Solve for x
    x = 31,179.62/171.27
  6. Step 6: Final answer
    x = 182.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.