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Finding the Fourth Proportional to 213.10, 294.08 and 163.89

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Solution

The fourth proportional to 213.10, 294.08 and 163.89 is: 226.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.10 : 294.08 = 163.89 : x
  2. Step 2: Convert to fraction form
    213.10/294.08 = 163.89/x
  3. Step 3: Cross multiply
    213.10x = 294.08 × 163.89
  4. Step 4: Simplify right side
    213.10x = 48,196.87
  5. Step 5: Solve for x
    x = 48,196.87/213.10
  6. Step 6: Final answer
    x = 226.17

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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.