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Finding the Fourth Proportional to 211.96, 317.20 and 163.96

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Solution

The fourth proportional to 211.96, 317.20 and 163.96 is: 245.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.96 : 317.20 = 163.96 : x
  2. Step 2: Convert to fraction form
    211.96/317.20 = 163.96/x
  3. Step 3: Cross multiply
    211.96x = 317.20 × 163.96
  4. Step 4: Simplify right side
    211.96x = 52,008.11
  5. Step 5: Solve for x
    x = 52,008.11/211.96
  6. Step 6: Final answer
    x = 245.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.