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Finding the Fourth Proportional to 213.86, 320.85 and 111.22

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Solution

The fourth proportional to 213.86, 320.85 and 111.22 is: 166.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.86 : 320.85 = 111.22 : x
  2. Step 2: Convert to fraction form
    213.86/320.85 = 111.22/x
  3. Step 3: Cross multiply
    213.86x = 320.85 × 111.22
  4. Step 4: Simplify right side
    213.86x = 35,683.33
  5. Step 5: Solve for x
    x = 35,683.33/213.86
  6. Step 6: Final answer
    x = 166.86

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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.