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Finding the Fourth Proportional to 183.12, 252.10 and 164.70

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Solution

The fourth proportional to 183.12, 252.10 and 164.70 is: 226.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.12 : 252.10 = 164.70 : x
  2. Step 2: Convert to fraction form
    183.12/252.10 = 164.70/x
  3. Step 3: Cross multiply
    183.12x = 252.10 × 164.70
  4. Step 4: Simplify right side
    183.12x = 41,520.87
  5. Step 5: Solve for x
    x = 41,520.87/183.12
  6. Step 6: Final answer
    x = 226.74

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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.