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Finding the Fourth Proportional to 212.36, 293.04 and 119.09

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Solution

The fourth proportional to 212.36, 293.04 and 119.09 is: 164.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.36 : 293.04 = 119.09 : x
  2. Step 2: Convert to fraction form
    212.36/293.04 = 119.09/x
  3. Step 3: Cross multiply
    212.36x = 293.04 × 119.09
  4. Step 4: Simplify right side
    212.36x = 34,898.13
  5. Step 5: Solve for x
    x = 34,898.13/212.36
  6. Step 6: Final answer
    x = 164.33

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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.