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Finding the Fourth Proportional to 183.92, 252.04 and 166.64

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Solution

The fourth proportional to 183.92, 252.04 and 166.64 is: 228.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.92 : 252.04 = 166.64 : x
  2. Step 2: Convert to fraction form
    183.92/252.04 = 166.64/x
  3. Step 3: Cross multiply
    183.92x = 252.04 × 166.64
  4. Step 4: Simplify right side
    183.92x = 41,999.95
  5. Step 5: Solve for x
    x = 41,999.95/183.92
  6. Step 6: Final answer
    x = 228.36

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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.