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Finding the Fourth Proportional to 216.06, 323.86 and 92.64

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Solution

The fourth proportional to 216.06, 323.86 and 92.64 is: 138.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.06 : 323.86 = 92.64 : x
  2. Step 2: Convert to fraction form
    216.06/323.86 = 92.64/x
  3. Step 3: Cross multiply
    216.06x = 323.86 × 92.64
  4. Step 4: Simplify right side
    216.06x = 30,002.39
  5. Step 5: Solve for x
    x = 30,002.39/216.06
  6. Step 6: Final answer
    x = 138.86

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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.