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Finding the Fourth Proportional to 213.69, 320.71 and 111

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Solution

The fourth proportional to 213.69, 320.71 and 111 is: 166.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.69 : 320.71 = 111 : x
  2. Step 2: Convert to fraction form
    213.69/320.71 = 111/x
  3. Step 3: Cross multiply
    213.69x = 320.71 × 111
  4. Step 4: Simplify right side
    213.69x = 35,598.26
  5. Step 5: Solve for x
    x = 35,598.26/213.69
  6. Step 6: Final answer
    x = 166.59

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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.