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Finding the Fourth Proportional to 213.57, 294.84 and 164.34

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Solution

The fourth proportional to 213.57, 294.84 and 164.34 is: 226.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.57 : 294.84 = 164.34 : x
  2. Step 2: Convert to fraction form
    213.57/294.84 = 164.34/x
  3. Step 3: Cross multiply
    213.57x = 294.84 × 164.34
  4. Step 4: Simplify right side
    213.57x = 48,454.01
  5. Step 5: Solve for x
    x = 48,454.01/213.57
  6. Step 6: Final answer
    x = 226.88

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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.