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Finding the Fourth Proportional to 277.85, 416.90 and 140.99

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Solution

The fourth proportional to 277.85, 416.90 and 140.99 is: 211.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.85 : 416.90 = 140.99 : x
  2. Step 2: Convert to fraction form
    277.85/416.90 = 140.99/x
  3. Step 3: Cross multiply
    277.85x = 416.90 × 140.99
  4. Step 4: Simplify right side
    277.85x = 58,778.73
  5. Step 5: Solve for x
    x = 58,778.73/277.85
  6. Step 6: Final answer
    x = 211.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.