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Finding the Fourth Proportional to 163.89, 225.77 and 134.73

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Solution

The fourth proportional to 163.89, 225.77 and 134.73 is: 185.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.89 : 225.77 = 134.73 : x
  2. Step 2: Convert to fraction form
    163.89/225.77 = 134.73/x
  3. Step 3: Cross multiply
    163.89x = 225.77 × 134.73
  4. Step 4: Simplify right side
    163.89x = 30,417.32
  5. Step 5: Solve for x
    x = 30,417.32/163.89
  6. Step 6: Final answer
    x = 185.60

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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.