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Finding the Fourth Proportional to 211.92, 317.96 and 130.82

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Solution

The fourth proportional to 211.92, 317.96 and 130.82 is: 196.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.92 : 317.96 = 130.82 : x
  2. Step 2: Convert to fraction form
    211.92/317.96 = 130.82/x
  3. Step 3: Cross multiply
    211.92x = 317.96 × 130.82
  4. Step 4: Simplify right side
    211.92x = 41,593.28
  5. Step 5: Solve for x
    x = 41,593.28/211.92
  6. Step 6: Final answer
    x = 196.27

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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.