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Finding the Fourth Proportional to 183.44, 252.33 and 149.87

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Solution

The fourth proportional to 183.44, 252.33 and 149.87 is: 206.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.44 : 252.33 = 149.87 : x
  2. Step 2: Convert to fraction form
    183.44/252.33 = 149.87/x
  3. Step 3: Cross multiply
    183.44x = 252.33 × 149.87
  4. Step 4: Simplify right side
    183.44x = 37,815.44
  5. Step 5: Solve for x
    x = 37,815.44/183.44
  6. Step 6: Final answer
    x = 206.15

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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.