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Finding the Fourth Proportional to 212.41, 293.24 and 163.13

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Solution

The fourth proportional to 212.41, 293.24 and 163.13 is: 225.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.41 : 293.24 = 163.13 : x
  2. Step 2: Convert to fraction form
    212.41/293.24 = 163.13/x
  3. Step 3: Cross multiply
    212.41x = 293.24 × 163.13
  4. Step 4: Simplify right side
    212.41x = 47,836.24
  5. Step 5: Solve for x
    x = 47,836.24/212.41
  6. Step 6: Final answer
    x = 225.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.