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Finding the Fourth Proportional to 183.62, 252.64 and 164.86

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Solution

The fourth proportional to 183.62, 252.64 and 164.86 is: 226.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.62 : 252.64 = 164.86 : x
  2. Step 2: Convert to fraction form
    183.62/252.64 = 164.86/x
  3. Step 3: Cross multiply
    183.62x = 252.64 × 164.86
  4. Step 4: Simplify right side
    183.62x = 41,650.98
  5. Step 5: Solve for x
    x = 41,650.98/183.62
  6. Step 6: Final answer
    x = 226.84

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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.