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Finding the Fourth Proportional to 269.79, 371.71 and 225.37

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Solution

The fourth proportional to 269.79, 371.71 and 225.37 is: 310.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.79 : 371.71 = 225.37 : x
  2. Step 2: Convert to fraction form
    269.79/371.71 = 225.37/x
  3. Step 3: Cross multiply
    269.79x = 371.71 × 225.37
  4. Step 4: Simplify right side
    269.79x = 83,772.28
  5. Step 5: Solve for x
    x = 83,772.28/269.79
  6. Step 6: Final answer
    x = 310.51

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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.