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Finding the Fourth Proportional to 183.23, 252.64 and 159.69

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Solution

The fourth proportional to 183.23, 252.64 and 159.69 is: 220.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.23 : 252.64 = 159.69 : x
  2. Step 2: Convert to fraction form
    183.23/252.64 = 159.69/x
  3. Step 3: Cross multiply
    183.23x = 252.64 × 159.69
  4. Step 4: Simplify right side
    183.23x = 40,344.08
  5. Step 5: Solve for x
    x = 40,344.08/183.23
  6. Step 6: Final answer
    x = 220.18

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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.