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Finding the Fourth Proportional to 163.70, 225.42 and 140.21

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Solution

The fourth proportional to 163.70, 225.42 and 140.21 is: 193.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.70 : 225.42 = 140.21 : x
  2. Step 2: Convert to fraction form
    163.70/225.42 = 140.21/x
  3. Step 3: Cross multiply
    163.70x = 225.42 × 140.21
  4. Step 4: Simplify right side
    163.70x = 31,606.14
  5. Step 5: Solve for x
    x = 31,606.14/163.70
  6. Step 6: Final answer
    x = 193.07

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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.