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Finding the Fourth Proportional to 216.29, 324.43 and 108.15

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Solution

The fourth proportional to 216.29, 324.43 and 108.15 is: 162.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.29 : 324.43 = 108.15 : x
  2. Step 2: Convert to fraction form
    216.29/324.43 = 108.15/x
  3. Step 3: Cross multiply
    216.29x = 324.43 × 108.15
  4. Step 4: Simplify right side
    216.29x = 35,087.10
  5. Step 5: Solve for x
    x = 35,087.10/216.29
  6. Step 6: Final answer
    x = 162.22

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Why These Related Problems?

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