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Finding the Fourth Proportional to 212.67, 293.49 and 119.43

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Solution

The fourth proportional to 212.67, 293.49 and 119.43 is: 164.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.67 : 293.49 = 119.43 : x
  2. Step 2: Convert to fraction form
    212.67/293.49 = 119.43/x
  3. Step 3: Cross multiply
    212.67x = 293.49 × 119.43
  4. Step 4: Simplify right side
    212.67x = 35,050.04
  5. Step 5: Solve for x
    x = 35,050.04/212.67
  6. Step 6: Final answer
    x = 164.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.