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Finding the Fourth Proportional to 216.09, 298.17 and 133.20

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Solution

The fourth proportional to 216.09, 298.17 and 133.20 is: 183.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.09 : 298.17 = 133.20 : x
  2. Step 2: Convert to fraction form
    216.09/298.17 = 133.20/x
  3. Step 3: Cross multiply
    216.09x = 298.17 × 133.20
  4. Step 4: Simplify right side
    216.09x = 39,716.24
  5. Step 5: Solve for x
    x = 39,716.24/216.09
  6. Step 6: Final answer
    x = 183.79

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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.