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Finding the Fourth Proportional to 183.25, 252.85 and 113.37

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Solution

The fourth proportional to 183.25, 252.85 and 113.37 is: 156.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.25 : 252.85 = 113.37 : x
  2. Step 2: Convert to fraction form
    183.25/252.85 = 113.37/x
  3. Step 3: Cross multiply
    183.25x = 252.85 × 113.37
  4. Step 4: Simplify right side
    183.25x = 28,664.59
  5. Step 5: Solve for x
    x = 28,664.59/183.25
  6. Step 6: Final answer
    x = 156.42

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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.