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Finding the Fourth Proportional to 277.99, 416.99 and 140.91

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Solution

The fourth proportional to 277.99, 416.99 and 140.91 is: 211.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.99 : 416.99 = 140.91 : x
  2. Step 2: Convert to fraction form
    277.99/416.99 = 140.91/x
  3. Step 3: Cross multiply
    277.99x = 416.99 × 140.91
  4. Step 4: Simplify right side
    277.99x = 58,758.06
  5. Step 5: Solve for x
    x = 58,758.06/277.99
  6. Step 6: Final answer
    x = 211.37

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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.