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Finding the Fourth Proportional to 269.35, 371.49 and 186.59

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Solution

The fourth proportional to 269.35, 371.49 and 186.59 is: 257.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.35 : 371.49 = 186.59 : x
  2. Step 2: Convert to fraction form
    269.35/371.49 = 186.59/x
  3. Step 3: Cross multiply
    269.35x = 371.49 × 186.59
  4. Step 4: Simplify right side
    269.35x = 69,317.25
  5. Step 5: Solve for x
    x = 69,317.25/269.35
  6. Step 6: Final answer
    x = 257.35

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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.