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Finding the Fourth Proportional to 182.37, 251.60 and 120.27

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Solution

The fourth proportional to 182.37, 251.60 and 120.27 is: 165.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.37 : 251.60 = 120.27 : x
  2. Step 2: Convert to fraction form
    182.37/251.60 = 120.27/x
  3. Step 3: Cross multiply
    182.37x = 251.60 × 120.27
  4. Step 4: Simplify right side
    182.37x = 30,259.33
  5. Step 5: Solve for x
    x = 30,259.33/182.37
  6. Step 6: Final answer
    x = 165.92

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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.