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Finding the Fourth Proportional to 269.19, 371.36 and 186.49

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Solution

The fourth proportional to 269.19, 371.36 and 186.49 is: 257.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.19 : 371.36 = 186.49 : x
  2. Step 2: Convert to fraction form
    269.19/371.36 = 186.49/x
  3. Step 3: Cross multiply
    269.19x = 371.36 × 186.49
  4. Step 4: Simplify right side
    269.19x = 69,255.86
  5. Step 5: Solve for x
    x = 69,255.86/269.19
  6. Step 6: Final answer
    x = 257.27

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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.