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Finding the Fourth Proportional to 277.64, 415.99 and 174.67

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Solution

The fourth proportional to 277.64, 415.99 and 174.67 is: 261.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.64 : 415.99 = 174.67 : x
  2. Step 2: Convert to fraction form
    277.64/415.99 = 174.67/x
  3. Step 3: Cross multiply
    277.64x = 415.99 × 174.67
  4. Step 4: Simplify right side
    277.64x = 72,660.97
  5. Step 5: Solve for x
    x = 72,660.97/277.64
  6. Step 6: Final answer
    x = 261.71

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