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Finding the Fourth Proportional to 163.28, 224.88 and 149.60

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Solution

The fourth proportional to 163.28, 224.88 and 149.60 is: 206.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.28 : 224.88 = 149.60 : x
  2. Step 2: Convert to fraction form
    163.28/224.88 = 149.60/x
  3. Step 3: Cross multiply
    163.28x = 224.88 × 149.60
  4. Step 4: Simplify right side
    163.28x = 33,642.05
  5. Step 5: Solve for x
    x = 33,642.05/163.28
  6. Step 6: Final answer
    x = 206.04

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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.