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Finding the Fourth Proportional to 216.16, 323.47 and 129.54

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Solution

The fourth proportional to 216.16, 323.47 and 129.54 is: 193.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.16 : 323.47 = 129.54 : x
  2. Step 2: Convert to fraction form
    216.16/323.47 = 129.54/x
  3. Step 3: Cross multiply
    216.16x = 323.47 × 129.54
  4. Step 4: Simplify right side
    216.16x = 41,902.30
  5. Step 5: Solve for x
    x = 41,902.30/216.16
  6. Step 6: Final answer
    x = 193.85

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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.