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Finding the Fourth Proportional to 213.83, 320.75 and 111

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Solution

The fourth proportional to 213.83, 320.75 and 111 is: 166.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.83 : 320.75 = 111 : x
  2. Step 2: Convert to fraction form
    213.83/320.75 = 111/x
  3. Step 3: Cross multiply
    213.83x = 320.75 × 111
  4. Step 4: Simplify right side
    213.83x = 35,603.25
  5. Step 5: Solve for x
    x = 35,603.25/213.83
  6. Step 6: Final answer
    x = 166.50

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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.