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Finding the Fourth Proportional to 212.38, 293.09 and 119.16

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Solution

The fourth proportional to 212.38, 293.09 and 119.16 is: 164.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.38 : 293.09 = 119.16 : x
  2. Step 2: Convert to fraction form
    212.38/293.09 = 119.16/x
  3. Step 3: Cross multiply
    212.38x = 293.09 × 119.16
  4. Step 4: Simplify right side
    212.38x = 34,924.01
  5. Step 5: Solve for x
    x = 34,924.01/212.38
  6. Step 6: Final answer
    x = 164.44

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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.