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Finding the Fourth Proportional to 212.81, 318.60 and 131.41

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Solution

The fourth proportional to 212.81, 318.60 and 131.41 is: 196.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.81 : 318.60 = 131.41 : x
  2. Step 2: Convert to fraction form
    212.81/318.60 = 131.41/x
  3. Step 3: Cross multiply
    212.81x = 318.60 × 131.41
  4. Step 4: Simplify right side
    212.81x = 41,867.23
  5. Step 5: Solve for x
    x = 41,867.23/212.81
  6. Step 6: Final answer
    x = 196.74

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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.