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Finding the Fourth Proportional to 212.71, 318.52 and 169.87

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Solution

The fourth proportional to 212.71, 318.52 and 169.87 is: 254.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.71 : 318.52 = 169.87 : x
  2. Step 2: Convert to fraction form
    212.71/318.52 = 169.87/x
  3. Step 3: Cross multiply
    212.71x = 318.52 × 169.87
  4. Step 4: Simplify right side
    212.71x = 54,106.41
  5. Step 5: Solve for x
    x = 54,106.41/212.71
  6. Step 6: Final answer
    x = 254.37

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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.