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Finding the Fourth Proportional to 182.53, 251.82 and 120.37

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Solution

The fourth proportional to 182.53, 251.82 and 120.37 is: 166.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.53 : 251.82 = 120.37 : x
  2. Step 2: Convert to fraction form
    182.53/251.82 = 120.37/x
  3. Step 3: Cross multiply
    182.53x = 251.82 × 120.37
  4. Step 4: Simplify right side
    182.53x = 30,311.57
  5. Step 5: Solve for x
    x = 30,311.57/182.53
  6. Step 6: Final answer
    x = 166.06

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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.