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Finding the Fourth Proportional to 182.25, 251.49 and 102.49

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Solution

The fourth proportional to 182.25, 251.49 and 102.49 is: 141.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.25 : 251.49 = 102.49 : x
  2. Step 2: Convert to fraction form
    182.25/251.49 = 102.49/x
  3. Step 3: Cross multiply
    182.25x = 251.49 × 102.49
  4. Step 4: Simplify right side
    182.25x = 25,775.58
  5. Step 5: Solve for x
    x = 25,775.58/182.25
  6. Step 6: Final answer
    x = 141.43

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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.