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Finding the Fourth Proportional to 182.92, 252.41 and 109.23

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Solution

The fourth proportional to 182.92, 252.41 and 109.23 is: 150.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.92 : 252.41 = 109.23 : x
  2. Step 2: Convert to fraction form
    182.92/252.41 = 109.23/x
  3. Step 3: Cross multiply
    182.92x = 252.41 × 109.23
  4. Step 4: Simplify right side
    182.92x = 27,570.74
  5. Step 5: Solve for x
    x = 27,570.74/182.92
  6. Step 6: Final answer
    x = 150.73

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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.