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Finding the Fourth Proportional to 212.81, 293.97 and 180.41

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Solution

The fourth proportional to 212.81, 293.97 and 180.41 is: 249.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.81 : 293.97 = 180.41 : x
  2. Step 2: Convert to fraction form
    212.81/293.97 = 180.41/x
  3. Step 3: Cross multiply
    212.81x = 293.97 × 180.41
  4. Step 4: Simplify right side
    212.81x = 53,033.66
  5. Step 5: Solve for x
    x = 53,033.66/212.81
  6. Step 6: Final answer
    x = 249.21

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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.