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Finding the Fourth Proportional to 163.87, 226.05 and 98.26

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Solution

The fourth proportional to 163.87, 226.05 and 98.26 is: 135.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.87 : 226.05 = 98.26 : x
  2. Step 2: Convert to fraction form
    163.87/226.05 = 98.26/x
  3. Step 3: Cross multiply
    163.87x = 226.05 × 98.26
  4. Step 4: Simplify right side
    163.87x = 22,211.67
  5. Step 5: Solve for x
    x = 22,211.67/163.87
  6. Step 6: Final answer
    x = 135.54

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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.