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Finding the Fourth Proportional to 183.84, 252.17 and 182.31

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Solution

The fourth proportional to 183.84, 252.17 and 182.31 is: 250.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.84 : 252.17 = 182.31 : x
  2. Step 2: Convert to fraction form
    183.84/252.17 = 182.31/x
  3. Step 3: Cross multiply
    183.84x = 252.17 × 182.31
  4. Step 4: Simplify right side
    183.84x = 45,972.20
  5. Step 5: Solve for x
    x = 45,972.20/183.84
  6. Step 6: Final answer
    x = 250.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.