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Finding the Fourth Proportional to 163.42, 226.60 and 157.95

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Solution

The fourth proportional to 163.42, 226.60 and 157.95 is: 219.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.42 : 226.60 = 157.95 : x
  2. Step 2: Convert to fraction form
    163.42/226.60 = 157.95/x
  3. Step 3: Cross multiply
    163.42x = 226.60 × 157.95
  4. Step 4: Simplify right side
    163.42x = 35,791.08
  5. Step 5: Solve for x
    x = 35,791.08/163.42
  6. Step 6: Final answer
    x = 219.02

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.