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Finding the Fourth Proportional to 211.75, 292.26 and 119.75

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Solution

The fourth proportional to 211.75, 292.26 and 119.75 is: 165.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.75 : 292.26 = 119.75 : x
  2. Step 2: Convert to fraction form
    211.75/292.26 = 119.75/x
  3. Step 3: Cross multiply
    211.75x = 292.26 × 119.75
  4. Step 4: Simplify right side
    211.75x = 34,998.14
  5. Step 5: Solve for x
    x = 34,998.14/211.75
  6. Step 6: Final answer
    x = 165.28

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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.