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Finding the Fourth Proportional to 216.83, 299.13 and 133.97

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Solution

The fourth proportional to 216.83, 299.13 and 133.97 is: 184.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.83 : 299.13 = 133.97 : x
  2. Step 2: Convert to fraction form
    216.83/299.13 = 133.97/x
  3. Step 3: Cross multiply
    216.83x = 299.13 × 133.97
  4. Step 4: Simplify right side
    216.83x = 40,072.95
  5. Step 5: Solve for x
    x = 40,072.95/216.83
  6. Step 6: Final answer
    x = 184.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.