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Finding the Fourth Proportional to 212.53, 293.26 and 119.27

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Solution

The fourth proportional to 212.53, 293.26 and 119.27 is: 164.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.53 : 293.26 = 119.27 : x
  2. Step 2: Convert to fraction form
    212.53/293.26 = 119.27/x
  3. Step 3: Cross multiply
    212.53x = 293.26 × 119.27
  4. Step 4: Simplify right side
    212.53x = 34,977.12
  5. Step 5: Solve for x
    x = 34,977.12/212.53
  6. Step 6: Final answer
    x = 164.57

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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.