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Finding the Fourth Proportional to 237.67, 356.17 and 213.14

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Solution

The fourth proportional to 237.67, 356.17 and 213.14 is: 319.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.67 : 356.17 = 213.14 : x
  2. Step 2: Convert to fraction form
    237.67/356.17 = 213.14/x
  3. Step 3: Cross multiply
    237.67x = 356.17 × 213.14
  4. Step 4: Simplify right side
    237.67x = 75,914.07
  5. Step 5: Solve for x
    x = 75,914.07/237.67
  6. Step 6: Final answer
    x = 319.41

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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.