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Finding the Fourth Proportional to 211.92, 292.42 and 118.66

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Solution

The fourth proportional to 211.92, 292.42 and 118.66 is: 163.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.92 : 292.42 = 118.66 : x
  2. Step 2: Convert to fraction form
    211.92/292.42 = 118.66/x
  3. Step 3: Cross multiply
    211.92x = 292.42 × 118.66
  4. Step 4: Simplify right side
    211.92x = 34,698.56
  5. Step 5: Solve for x
    x = 34,698.56/211.92
  6. Step 6: Final answer
    x = 163.73

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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.