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Finding the Fourth Proportional to 216.67, 324.99 and 113.80

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Solution

The fourth proportional to 216.67, 324.99 and 113.80 is: 170.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.67 : 324.99 = 113.80 : x
  2. Step 2: Convert to fraction form
    216.67/324.99 = 113.80/x
  3. Step 3: Cross multiply
    216.67x = 324.99 × 113.80
  4. Step 4: Simplify right side
    216.67x = 36,983.86
  5. Step 5: Solve for x
    x = 36,983.86/216.67
  6. Step 6: Final answer
    x = 170.69

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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.