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Finding the Fourth Proportional to 213.68, 296.89 and 211.42

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Solution

The fourth proportional to 213.68, 296.89 and 211.42 is: 293.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.68 : 296.89 = 211.42 : x
  2. Step 2: Convert to fraction form
    213.68/296.89 = 211.42/x
  3. Step 3: Cross multiply
    213.68x = 296.89 × 211.42
  4. Step 4: Simplify right side
    213.68x = 62,768.48
  5. Step 5: Solve for x
    x = 62,768.48/213.68
  6. Step 6: Final answer
    x = 293.75

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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.