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Finding the Fourth Proportional to 163.96, 225.89 and 146.41

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Solution

The fourth proportional to 163.96, 225.89 and 146.41 is: 201.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.96 : 225.89 = 146.41 : x
  2. Step 2: Convert to fraction form
    163.96/225.89 = 146.41/x
  3. Step 3: Cross multiply
    163.96x = 225.89 × 146.41
  4. Step 4: Simplify right side
    163.96x = 33,071.81
  5. Step 5: Solve for x
    x = 33,071.81/163.96
  6. Step 6: Final answer
    x = 201.71

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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.