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Finding the Fourth Proportional to 212.27, 292.91 and 119.03

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Solution

The fourth proportional to 212.27, 292.91 and 119.03 is: 164.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.27 : 292.91 = 119.03 : x
  2. Step 2: Convert to fraction form
    212.27/292.91 = 119.03/x
  3. Step 3: Cross multiply
    212.27x = 292.91 × 119.03
  4. Step 4: Simplify right side
    212.27x = 34,863.02
  5. Step 5: Solve for x
    x = 34,863.02/212.27
  6. Step 6: Final answer
    x = 164.24

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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.