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Finding the Fourth Proportional to 212.31, 292.97 and 119.05

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Solution

The fourth proportional to 212.31, 292.97 and 119.05 is: 164.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.31 : 292.97 = 119.05 : x
  2. Step 2: Convert to fraction form
    212.31/292.97 = 119.05/x
  3. Step 3: Cross multiply
    212.31x = 292.97 × 119.05
  4. Step 4: Simplify right side
    212.31x = 34,879.57
  5. Step 5: Solve for x
    x = 34,879.57/212.31
  6. Step 6: Final answer
    x = 164.29

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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.