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Finding the Fourth Proportional to 269.14, 371.01 and 210.82

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Solution

The fourth proportional to 269.14, 371.01 and 210.82 is: 290.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.14 : 371.01 = 210.82 : x
  2. Step 2: Convert to fraction form
    269.14/371.01 = 210.82/x
  3. Step 3: Cross multiply
    269.14x = 371.01 × 210.82
  4. Step 4: Simplify right side
    269.14x = 78,216.33
  5. Step 5: Solve for x
    x = 78,216.33/269.14
  6. Step 6: Final answer
    x = 290.62

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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.