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Finding the Fourth Proportional to 182.87, 252.39 and 109.19

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Solution

The fourth proportional to 182.87, 252.39 and 109.19 is: 150.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.87 : 252.39 = 109.19 : x
  2. Step 2: Convert to fraction form
    182.87/252.39 = 109.19/x
  3. Step 3: Cross multiply
    182.87x = 252.39 × 109.19
  4. Step 4: Simplify right side
    182.87x = 27,556.66
  5. Step 5: Solve for x
    x = 27,556.66/182.87
  6. Step 6: Final answer
    x = 150.69

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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.