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Finding the Fourth Proportional to 182.97, 252.44 and 109.26

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Solution

The fourth proportional to 182.97, 252.44 and 109.26 is: 150.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.97 : 252.44 = 109.26 : x
  2. Step 2: Convert to fraction form
    182.97/252.44 = 109.26/x
  3. Step 3: Cross multiply
    182.97x = 252.44 × 109.26
  4. Step 4: Simplify right side
    182.97x = 27,581.59
  5. Step 5: Solve for x
    x = 27,581.59/182.97
  6. Step 6: Final answer
    x = 150.74

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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.