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Finding the Fourth Proportional to 183.49, 252.66 and 168.80

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Solution

The fourth proportional to 183.49, 252.66 and 168.80 is: 232.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.49 : 252.66 = 168.80 : x
  2. Step 2: Convert to fraction form
    183.49/252.66 = 168.80/x
  3. Step 3: Cross multiply
    183.49x = 252.66 × 168.80
  4. Step 4: Simplify right side
    183.49x = 42,648.06
  5. Step 5: Solve for x
    x = 42,648.06/183.49
  6. Step 6: Final answer
    x = 232.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.