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Finding the Fourth Proportional to 216.29, 324.23 and 113.74

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Solution

The fourth proportional to 216.29, 324.23 and 113.74 is: 170.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.29 : 324.23 = 113.74 : x
  2. Step 2: Convert to fraction form
    216.29/324.23 = 113.74/x
  3. Step 3: Cross multiply
    216.29x = 324.23 × 113.74
  4. Step 4: Simplify right side
    216.29x = 36,876.54
  5. Step 5: Solve for x
    x = 36,876.54/216.29
  6. Step 6: Final answer
    x = 170.49

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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.