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Finding the Fourth Proportional to 212.82, 319.17 and 115.26

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Solution

The fourth proportional to 212.82, 319.17 and 115.26 is: 172.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.82 : 319.17 = 115.26 : x
  2. Step 2: Convert to fraction form
    212.82/319.17 = 115.26/x
  3. Step 3: Cross multiply
    212.82x = 319.17 × 115.26
  4. Step 4: Simplify right side
    212.82x = 36,787.53
  5. Step 5: Solve for x
    x = 36,787.53/212.82
  6. Step 6: Final answer
    x = 172.86

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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.