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Finding the Fourth Proportional to 182.39, 251.69 and 99.49

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Solution

The fourth proportional to 182.39, 251.69 and 99.49 is: 137.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.39 : 251.69 = 99.49 : x
  2. Step 2: Convert to fraction form
    182.39/251.69 = 99.49/x
  3. Step 3: Cross multiply
    182.39x = 251.69 × 99.49
  4. Step 4: Simplify right side
    182.39x = 25,040.48
  5. Step 5: Solve for x
    x = 25,040.48/182.39
  6. Step 6: Final answer
    x = 137.29

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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.