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Finding the Fourth Proportional to 269.39, 371.81 and 214.56

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Solution

The fourth proportional to 269.39, 371.81 and 214.56 is: 296.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.39 : 371.81 = 214.56 : x
  2. Step 2: Convert to fraction form
    269.39/371.81 = 214.56/x
  3. Step 3: Cross multiply
    269.39x = 371.81 × 214.56
  4. Step 4: Simplify right side
    269.39x = 79,776.09
  5. Step 5: Solve for x
    x = 79,776.09/269.39
  6. Step 6: Final answer
    x = 296.13

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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.