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Finding the Fourth Proportional to 182.30, 251.84 and 120.27

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Solution

The fourth proportional to 182.30, 251.84 and 120.27 is: 166.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.30 : 251.84 = 120.27 : x
  2. Step 2: Convert to fraction form
    182.30/251.84 = 120.27/x
  3. Step 3: Cross multiply
    182.30x = 251.84 × 120.27
  4. Step 4: Simplify right side
    182.30x = 30,288.80
  5. Step 5: Solve for x
    x = 30,288.80/182.30
  6. Step 6: Final answer
    x = 166.15

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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.