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Finding the Fourth Proportional to 163.26, 224.00 and 149.49

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Solution

The fourth proportional to 163.26, 224.00 and 149.49 is: 205.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.26 : 224.00 = 149.49 : x
  2. Step 2: Convert to fraction form
    163.26/224.00 = 149.49/x
  3. Step 3: Cross multiply
    163.26x = 224.00 × 149.49
  4. Step 4: Simplify right side
    163.26x = 33,485.01
  5. Step 5: Solve for x
    x = 33,485.01/163.26
  6. Step 6: Final answer
    x = 205.10

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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.