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Finding the Fourth Proportional to 212.67, 293.46 and 119.42

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Solution

The fourth proportional to 212.67, 293.46 and 119.42 is: 164.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.67 : 293.46 = 119.42 : x
  2. Step 2: Convert to fraction form
    212.67/293.46 = 119.42/x
  3. Step 3: Cross multiply
    212.67x = 293.46 × 119.42
  4. Step 4: Simplify right side
    212.67x = 35,044.63
  5. Step 5: Solve for x
    x = 35,044.63/212.67
  6. Step 6: Final answer
    x = 164.78

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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.