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Finding the Fourth Proportional to 182.30, 251.64 and 120.14

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Solution

The fourth proportional to 182.30, 251.64 and 120.14 is: 165.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.30 : 251.64 = 120.14 : x
  2. Step 2: Convert to fraction form
    182.30/251.64 = 120.14/x
  3. Step 3: Cross multiply
    182.30x = 251.64 × 120.14
  4. Step 4: Simplify right side
    182.30x = 30,230.77
  5. Step 5: Solve for x
    x = 30,230.77/182.30
  6. Step 6: Final answer
    x = 165.83

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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.