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Finding the Fourth Proportional to 163.93, 226.02 and 138.98

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Solution

The fourth proportional to 163.93, 226.02 and 138.98 is: 191.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.93 : 226.02 = 138.98 : x
  2. Step 2: Convert to fraction form
    163.93/226.02 = 138.98/x
  3. Step 3: Cross multiply
    163.93x = 226.02 × 138.98
  4. Step 4: Simplify right side
    163.93x = 31,412.26
  5. Step 5: Solve for x
    x = 31,412.26/163.93
  6. Step 6: Final answer
    x = 191.63

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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.