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Finding the Fourth Proportional to 213.67, 320.49 and 136.41

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Solution

The fourth proportional to 213.67, 320.49 and 136.41 is: 204.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.67 : 320.49 = 136.41 : x
  2. Step 2: Convert to fraction form
    213.67/320.49 = 136.41/x
  3. Step 3: Cross multiply
    213.67x = 320.49 × 136.41
  4. Step 4: Simplify right side
    213.67x = 43,718.04
  5. Step 5: Solve for x
    x = 43,718.04/213.67
  6. Step 6: Final answer
    x = 204.61

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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.