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Finding the Fourth Proportional to 182.96, 273.27 and 167.77

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Solution

The fourth proportional to 182.96, 273.27 and 167.77 is: 250.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.96 : 273.27 = 167.77 : x
  2. Step 2: Convert to fraction form
    182.96/273.27 = 167.77/x
  3. Step 3: Cross multiply
    182.96x = 273.27 × 167.77
  4. Step 4: Simplify right side
    182.96x = 45,847.48
  5. Step 5: Solve for x
    x = 45,847.48/182.96
  6. Step 6: Final answer
    x = 250.59

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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.