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Finding the Fourth Proportional to 212.57, 293.61 and 164.04

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Solution

The fourth proportional to 212.57, 293.61 and 164.04 is: 226.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.57 : 293.61 = 164.04 : x
  2. Step 2: Convert to fraction form
    212.57/293.61 = 164.04/x
  3. Step 3: Cross multiply
    212.57x = 293.61 × 164.04
  4. Step 4: Simplify right side
    212.57x = 48,163.78
  5. Step 5: Solve for x
    x = 48,163.78/212.57
  6. Step 6: Final answer
    x = 226.58

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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.