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Finding the Fourth Proportional to 216.09, 323.33 and 124.83

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Solution

The fourth proportional to 216.09, 323.33 and 124.83 is: 186.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.09 : 323.33 = 124.83 : x
  2. Step 2: Convert to fraction form
    216.09/323.33 = 124.83/x
  3. Step 3: Cross multiply
    216.09x = 323.33 × 124.83
  4. Step 4: Simplify right side
    216.09x = 40,360.66
  5. Step 5: Solve for x
    x = 40,360.66/216.09
  6. Step 6: Final answer
    x = 186.78

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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.