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Finding the Fourth Proportional to 182.28, 251.46 and 120.09

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Solution

The fourth proportional to 182.28, 251.46 and 120.09 is: 165.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.28 : 251.46 = 120.09 : x
  2. Step 2: Convert to fraction form
    182.28/251.46 = 120.09/x
  3. Step 3: Cross multiply
    182.28x = 251.46 × 120.09
  4. Step 4: Simplify right side
    182.28x = 30,197.83
  5. Step 5: Solve for x
    x = 30,197.83/182.28
  6. Step 6: Final answer
    x = 165.67

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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.