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Finding the Fourth Proportional to 216.44, 324.35 and 108.08

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Solution

The fourth proportional to 216.44, 324.35 and 108.08 is: 161.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.44 : 324.35 = 108.08 : x
  2. Step 2: Convert to fraction form
    216.44/324.35 = 108.08/x
  3. Step 3: Cross multiply
    216.44x = 324.35 × 108.08
  4. Step 4: Simplify right side
    216.44x = 35,055.21
  5. Step 5: Solve for x
    x = 35,055.21/216.44
  6. Step 6: Final answer
    x = 161.96

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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.