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Finding the Fourth Proportional to 183.03, 251.18 and 178.44

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Solution

The fourth proportional to 183.03, 251.18 and 178.44 is: 244.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.03 : 251.18 = 178.44 : x
  2. Step 2: Convert to fraction form
    183.03/251.18 = 178.44/x
  3. Step 3: Cross multiply
    183.03x = 251.18 × 178.44
  4. Step 4: Simplify right side
    183.03x = 44,819.67
  5. Step 5: Solve for x
    x = 44,819.67/183.03
  6. Step 6: Final answer
    x = 244.88

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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.