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Finding the Fourth Proportional to 269.80, 371.59 and 232.94

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Solution

The fourth proportional to 269.80, 371.59 and 232.94 is: 320.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.80 : 371.59 = 232.94 : x
  2. Step 2: Convert to fraction form
    269.80/371.59 = 232.94/x
  3. Step 3: Cross multiply
    269.80x = 371.59 × 232.94
  4. Step 4: Simplify right side
    269.80x = 86,558.52
  5. Step 5: Solve for x
    x = 86,558.52/269.80
  6. Step 6: Final answer
    x = 320.83

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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.