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Finding the Fourth Proportional to 183.24, 253.26 and 163.44

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Solution

The fourth proportional to 183.24, 253.26 and 163.44 is: 225.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.24 : 253.26 = 163.44 : x
  2. Step 2: Convert to fraction form
    183.24/253.26 = 163.44/x
  3. Step 3: Cross multiply
    183.24x = 253.26 × 163.44
  4. Step 4: Simplify right side
    183.24x = 41,392.81
  5. Step 5: Solve for x
    x = 41,392.81/183.24
  6. Step 6: Final answer
    x = 225.89

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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.