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Finding the Fourth Proportional to 163.82, 225.22 and 146.16

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Solution

The fourth proportional to 163.82, 225.22 and 146.16 is: 200.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.82 : 225.22 = 146.16 : x
  2. Step 2: Convert to fraction form
    163.82/225.22 = 146.16/x
  3. Step 3: Cross multiply
    163.82x = 225.22 × 146.16
  4. Step 4: Simplify right side
    163.82x = 32,918.16
  5. Step 5: Solve for x
    x = 32,918.16/163.82
  6. Step 6: Final answer
    x = 200.94

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.