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Finding the Fourth Proportional to 163.20, 216.24 and 163.20

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Solution

The fourth proportional to 163.20, 216.24 and 163.20 is: 216.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.20 : 216.24 = 163.20 : x
  2. Step 2: Convert to fraction form
    163.20/216.24 = 163.20/x
  3. Step 3: Cross multiply
    163.20x = 216.24 × 163.20
  4. Step 4: Simplify right side
    163.20x = 35,290.37
  5. Step 5: Solve for x
    x = 35,290.37/163.20
  6. Step 6: Final answer
    x = 216.24

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.