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Finding the Fourth Proportional to 183.96, 255.52 and 178.84

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Solution

The fourth proportional to 183.96, 255.52 and 178.84 is: 248.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.96 : 255.52 = 178.84 : x
  2. Step 2: Convert to fraction form
    183.96/255.52 = 178.84/x
  3. Step 3: Cross multiply
    183.96x = 255.52 × 178.84
  4. Step 4: Simplify right side
    183.96x = 45,697.20
  5. Step 5: Solve for x
    x = 45,697.20/183.96
  6. Step 6: Final answer
    x = 248.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.