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Finding the Fourth Proportional to 183.74, 252.74 and 150.12

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Solution

The fourth proportional to 183.74, 252.74 and 150.12 is: 206.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.74 : 252.74 = 150.12 : x
  2. Step 2: Convert to fraction form
    183.74/252.74 = 150.12/x
  3. Step 3: Cross multiply
    183.74x = 252.74 × 150.12
  4. Step 4: Simplify right side
    183.74x = 37,941.33
  5. Step 5: Solve for x
    x = 37,941.33/183.74
  6. Step 6: Final answer
    x = 206.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.