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Finding the Fourth Proportional to 277.98, 381.50 and 255.90

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Solution

The fourth proportional to 277.98, 381.50 and 255.90 is: 351.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.98 : 381.50 = 255.90 : x
  2. Step 2: Convert to fraction form
    277.98/381.50 = 255.90/x
  3. Step 3: Cross multiply
    277.98x = 381.50 × 255.90
  4. Step 4: Simplify right side
    277.98x = 97,624.57
  5. Step 5: Solve for x
    x = 97,624.57/277.98
  6. Step 6: Final answer
    x = 351.19

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.