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Finding the Fourth Proportional to 182.49, 251.76 and 120.30

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Solution

The fourth proportional to 182.49, 251.76 and 120.30 is: 165.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.49 : 251.76 = 120.30 : x
  2. Step 2: Convert to fraction form
    182.49/251.76 = 120.30/x
  3. Step 3: Cross multiply
    182.49x = 251.76 × 120.30
  4. Step 4: Simplify right side
    182.49x = 30,286.97
  5. Step 5: Solve for x
    x = 30,286.97/182.49
  6. Step 6: Final answer
    x = 165.97

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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.