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Finding the Fourth Proportional to 216.14, 324.20 and 79.22

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Solution

The fourth proportional to 216.14, 324.20 and 79.22 is: 118.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.14 : 324.20 = 79.22 : x
  2. Step 2: Convert to fraction form
    216.14/324.20 = 79.22/x
  3. Step 3: Cross multiply
    216.14x = 324.20 × 79.22
  4. Step 4: Simplify right side
    216.14x = 25,684.13
  5. Step 5: Solve for x
    x = 25,684.13/216.14
  6. Step 6: Final answer
    x = 118.83

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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.