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Finding the Fourth Proportional to 183.14, 252.68 and 120.96

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Solution

The fourth proportional to 183.14, 252.68 and 120.96 is: 166.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.14 : 252.68 = 120.96 : x
  2. Step 2: Convert to fraction form
    183.14/252.68 = 120.96/x
  3. Step 3: Cross multiply
    183.14x = 252.68 × 120.96
  4. Step 4: Simplify right side
    183.14x = 30,563.57
  5. Step 5: Solve for x
    x = 30,563.57/183.14
  6. Step 6: Final answer
    x = 166.89

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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.