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Finding the Fourth Proportional to 238.80, 355.82 and 213.26

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Solution

The fourth proportional to 238.80, 355.82 and 213.26 is: 317.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.80 : 355.82 = 213.26 : x
  2. Step 2: Convert to fraction form
    238.80/355.82 = 213.26/x
  3. Step 3: Cross multiply
    238.80x = 355.82 × 213.26
  4. Step 4: Simplify right side
    238.80x = 75,882.17
  5. Step 5: Solve for x
    x = 75,882.17/238.80
  6. Step 6: Final answer
    x = 317.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.