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Finding the Fourth Proportional to 211.58, 293.97 and 209

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Solution

The fourth proportional to 211.58, 293.97 and 209 is: 290.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.58 : 293.97 = 209 : x
  2. Step 2: Convert to fraction form
    211.58/293.97 = 209/x
  3. Step 3: Cross multiply
    211.58x = 293.97 × 209
  4. Step 4: Simplify right side
    211.58x = 61,439.73
  5. Step 5: Solve for x
    x = 61,439.73/211.58
  6. Step 6: Final answer
    x = 290.39

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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.