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Finding the Fourth Proportional to 182.43, 252.09 and 166.23

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Solution

The fourth proportional to 182.43, 252.09 and 166.23 is: 229.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.43 : 252.09 = 166.23 : x
  2. Step 2: Convert to fraction form
    182.43/252.09 = 166.23/x
  3. Step 3: Cross multiply
    182.43x = 252.09 × 166.23
  4. Step 4: Simplify right side
    182.43x = 41,904.92
  5. Step 5: Solve for x
    x = 41,904.92/182.43
  6. Step 6: Final answer
    x = 229.70

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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.