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Finding the Fourth Proportional to 216.29, 298.19 and 180.75

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Solution

The fourth proportional to 216.29, 298.19 and 180.75 is: 249.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.29 : 298.19 = 180.75 : x
  2. Step 2: Convert to fraction form
    216.29/298.19 = 180.75/x
  3. Step 3: Cross multiply
    216.29x = 298.19 × 180.75
  4. Step 4: Simplify right side
    216.29x = 53,896.94
  5. Step 5: Solve for x
    x = 53,896.94/216.29
  6. Step 6: Final answer
    x = 249.19

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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.