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Finding the Fourth Proportional to 182.94, 252.43 and 109.23

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Solution

The fourth proportional to 182.94, 252.43 and 109.23 is: 150.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.94 : 252.43 = 109.23 : x
  2. Step 2: Convert to fraction form
    182.94/252.43 = 109.23/x
  3. Step 3: Cross multiply
    182.94x = 252.43 × 109.23
  4. Step 4: Simplify right side
    182.94x = 27,572.66
  5. Step 5: Solve for x
    x = 27,572.66/182.94
  6. Step 6: Final answer
    x = 150.72

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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.