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Finding the Fourth Proportional to 182.49, 251.77 and 149.73

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Solution

The fourth proportional to 182.49, 251.77 and 149.73 is: 206.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.49 : 251.77 = 149.73 : x
  2. Step 2: Convert to fraction form
    182.49/251.77 = 149.73/x
  3. Step 3: Cross multiply
    182.49x = 251.77 × 149.73
  4. Step 4: Simplify right side
    182.49x = 37,697.52
  5. Step 5: Solve for x
    x = 37,697.52/182.49
  6. Step 6: Final answer
    x = 206.57

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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.