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Finding the Fourth Proportional to 211.37, 292.91 and 208.73

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Solution

The fourth proportional to 211.37, 292.91 and 208.73 is: 289.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.37 : 292.91 = 208.73 : x
  2. Step 2: Convert to fraction form
    211.37/292.91 = 208.73/x
  3. Step 3: Cross multiply
    211.37x = 292.91 × 208.73
  4. Step 4: Simplify right side
    211.37x = 61,138.79
  5. Step 5: Solve for x
    x = 61,138.79/211.37
  6. Step 6: Final answer
    x = 289.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.