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Finding the Fourth Proportional to 211.08, 317.34 and 165.97

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Solution

The fourth proportional to 211.08, 317.34 and 165.97 is: 249.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.08 : 317.34 = 165.97 : x
  2. Step 2: Convert to fraction form
    211.08/317.34 = 165.97/x
  3. Step 3: Cross multiply
    211.08x = 317.34 × 165.97
  4. Step 4: Simplify right side
    211.08x = 52,668.09
  5. Step 5: Solve for x
    x = 52,668.09/211.08
  6. Step 6: Final answer
    x = 249.52

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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.