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Finding the Fourth Proportional to 235.72, 353.22 and 163.36

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Solution

The fourth proportional to 235.72, 353.22 and 163.36 is: 244.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.72 : 353.22 = 163.36 : x
  2. Step 2: Convert to fraction form
    235.72/353.22 = 163.36/x
  3. Step 3: Cross multiply
    235.72x = 353.22 × 163.36
  4. Step 4: Simplify right side
    235.72x = 57,702.02
  5. Step 5: Solve for x
    x = 57,702.02/235.72
  6. Step 6: Final answer
    x = 244.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.