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Finding the Fourth Proportional to 213.20, 321.29 and 192.65

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Solution

The fourth proportional to 213.20, 321.29 and 192.65 is: 290.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.20 : 321.29 = 192.65 : x
  2. Step 2: Convert to fraction form
    213.20/321.29 = 192.65/x
  3. Step 3: Cross multiply
    213.20x = 321.29 × 192.65
  4. Step 4: Simplify right side
    213.20x = 61,896.52
  5. Step 5: Solve for x
    x = 61,896.52/213.20
  6. Step 6: Final answer
    x = 290.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.