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Finding the Fourth Proportional to 255.41, 381.25 and 219.57

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Solution

The fourth proportional to 255.41, 381.25 and 219.57 is: 327.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.41 : 381.25 = 219.57 : x
  2. Step 2: Convert to fraction form
    255.41/381.25 = 219.57/x
  3. Step 3: Cross multiply
    255.41x = 381.25 × 219.57
  4. Step 4: Simplify right side
    255.41x = 83,711.06
  5. Step 5: Solve for x
    x = 83,711.06/255.41
  6. Step 6: Final answer
    x = 327.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.