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Finding the Fourth Proportional to 213.98, 294.84 and 164.70

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Solution

The fourth proportional to 213.98, 294.84 and 164.70 is: 226.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.98 : 294.84 = 164.70 : x
  2. Step 2: Convert to fraction form
    213.98/294.84 = 164.70/x
  3. Step 3: Cross multiply
    213.98x = 294.84 × 164.70
  4. Step 4: Simplify right side
    213.98x = 48,560.15
  5. Step 5: Solve for x
    x = 48,560.15/213.98
  6. Step 6: Final answer
    x = 226.94

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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.