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Finding the Fourth Proportional to 216.28, 324.56 and 108.16

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Solution

The fourth proportional to 216.28, 324.56 and 108.16 is: 162.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.28 : 324.56 = 108.16 : x
  2. Step 2: Convert to fraction form
    216.28/324.56 = 108.16/x
  3. Step 3: Cross multiply
    216.28x = 324.56 × 108.16
  4. Step 4: Simplify right side
    216.28x = 35,104.41
  5. Step 5: Solve for x
    x = 35,104.41/216.28
  6. Step 6: Final answer
    x = 162.31

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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.