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Finding the Fourth Proportional to 182.14, 251.38 and 108.50

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Solution

The fourth proportional to 182.14, 251.38 and 108.50 is: 149.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.14 : 251.38 = 108.50 : x
  2. Step 2: Convert to fraction form
    182.14/251.38 = 108.50/x
  3. Step 3: Cross multiply
    182.14x = 251.38 × 108.50
  4. Step 4: Simplify right side
    182.14x = 27,274.73
  5. Step 5: Solve for x
    x = 27,274.73/182.14
  6. Step 6: Final answer
    x = 149.75

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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.