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Finding the Fourth Proportional to 182.25, 251.43 and 112.28

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Solution

The fourth proportional to 182.25, 251.43 and 112.28 is: 154.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.25 : 251.43 = 112.28 : x
  2. Step 2: Convert to fraction form
    182.25/251.43 = 112.28/x
  3. Step 3: Cross multiply
    182.25x = 251.43 × 112.28
  4. Step 4: Simplify right side
    182.25x = 28,229.30
  5. Step 5: Solve for x
    x = 28,229.30/182.25
  6. Step 6: Final answer
    x = 154.89

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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.