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Finding the Fourth Proportional to 213.76, 296.41 and 209.80

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Solution

The fourth proportional to 213.76, 296.41 and 209.80 is: 290.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.76 : 296.41 = 209.80 : x
  2. Step 2: Convert to fraction form
    213.76/296.41 = 209.80/x
  3. Step 3: Cross multiply
    213.76x = 296.41 × 209.80
  4. Step 4: Simplify right side
    213.76x = 62,186.82
  5. Step 5: Solve for x
    x = 62,186.82/213.76
  6. Step 6: Final answer
    x = 290.92

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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.