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Finding the Fourth Proportional to 277.87, 416.78 and 201.73

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Solution

The fourth proportional to 277.87, 416.78 and 201.73 is: 302.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.87 : 416.78 = 201.73 : x
  2. Step 2: Convert to fraction form
    277.87/416.78 = 201.73/x
  3. Step 3: Cross multiply
    277.87x = 416.78 × 201.73
  4. Step 4: Simplify right side
    277.87x = 84,077.03
  5. Step 5: Solve for x
    x = 84,077.03/277.87
  6. Step 6: Final answer
    x = 302.58

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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.