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Finding the Fourth Proportional to 269.00, 371.55 and 185.96

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Solution

The fourth proportional to 269.00, 371.55 and 185.96 is: 256.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.00 : 371.55 = 185.96 : x
  2. Step 2: Convert to fraction form
    269.00/371.55 = 185.96/x
  3. Step 3: Cross multiply
    269.00x = 371.55 × 185.96
  4. Step 4: Simplify right side
    269.00x = 69,091.58
  5. Step 5: Solve for x
    x = 69,091.58/269.00
  6. Step 6: Final answer
    x = 256.85

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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.