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Finding the Fourth Proportional to 183.29, 252.77 and 165.06

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Solution

The fourth proportional to 183.29, 252.77 and 165.06 is: 227.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.29 : 252.77 = 165.06 : x
  2. Step 2: Convert to fraction form
    183.29/252.77 = 165.06/x
  3. Step 3: Cross multiply
    183.29x = 252.77 × 165.06
  4. Step 4: Simplify right side
    183.29x = 41,721.39
  5. Step 5: Solve for x
    x = 41,721.39/183.29
  6. Step 6: Final answer
    x = 227.63

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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.