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Finding the Fourth Proportional to 269.53, 371.77 and 185.46

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Solution

The fourth proportional to 269.53, 371.77 and 185.46 is: 255.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.53 : 371.77 = 185.46 : x
  2. Step 2: Convert to fraction form
    269.53/371.77 = 185.46/x
  3. Step 3: Cross multiply
    269.53x = 371.77 × 185.46
  4. Step 4: Simplify right side
    269.53x = 68,948.46
  5. Step 5: Solve for x
    x = 68,948.46/269.53
  6. Step 6: Final answer
    x = 255.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.