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Finding the Fourth Proportional to 237.41, 355.21 and 213.43

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Solution

The fourth proportional to 237.41, 355.21 and 213.43 is: 319.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.41 : 355.21 = 213.43 : x
  2. Step 2: Convert to fraction form
    237.41/355.21 = 213.43/x
  3. Step 3: Cross multiply
    237.41x = 355.21 × 213.43
  4. Step 4: Simplify right side
    237.41x = 75,812.47
  5. Step 5: Solve for x
    x = 75,812.47/237.41
  6. Step 6: Final answer
    x = 319.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.