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Finding the Fourth Proportional to 183.11, 252.74 and 109.45

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Solution

The fourth proportional to 183.11, 252.74 and 109.45 is: 151.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.11 : 252.74 = 109.45 : x
  2. Step 2: Convert to fraction form
    183.11/252.74 = 109.45/x
  3. Step 3: Cross multiply
    183.11x = 252.74 × 109.45
  4. Step 4: Simplify right side
    183.11x = 27,662.37
  5. Step 5: Solve for x
    x = 27,662.37/183.11
  6. Step 6: Final answer
    x = 151.07

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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.