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Finding the Fourth Proportional to 211.86, 292.41 and 133.21

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Solution

The fourth proportional to 211.86, 292.41 and 133.21 is: 183.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.86 : 292.41 = 133.21 : x
  2. Step 2: Convert to fraction form
    211.86/292.41 = 133.21/x
  3. Step 3: Cross multiply
    211.86x = 292.41 × 133.21
  4. Step 4: Simplify right side
    211.86x = 38,951.94
  5. Step 5: Solve for x
    x = 38,951.94/211.86
  6. Step 6: Final answer
    x = 183.86

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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.