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Finding the Fourth Proportional to 163.08, 224.60 and 149.42

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Solution

The fourth proportional to 163.08, 224.60 and 149.42 is: 205.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.08 : 224.60 = 149.42 : x
  2. Step 2: Convert to fraction form
    163.08/224.60 = 149.42/x
  3. Step 3: Cross multiply
    163.08x = 224.60 × 149.42
  4. Step 4: Simplify right side
    163.08x = 33,559.73
  5. Step 5: Solve for x
    x = 33,559.73/163.08
  6. Step 6: Final answer
    x = 205.79

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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.