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Finding the Fourth Proportional to 212.20, 293.04 and 161.64

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Solution

The fourth proportional to 212.20, 293.04 and 161.64 is: 223.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.20 : 293.04 = 161.64 : x
  2. Step 2: Convert to fraction form
    212.20/293.04 = 161.64/x
  3. Step 3: Cross multiply
    212.20x = 293.04 × 161.64
  4. Step 4: Simplify right side
    212.20x = 47,366.99
  5. Step 5: Solve for x
    x = 47,366.99/212.20
  6. Step 6: Final answer
    x = 223.22

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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.