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Finding the Fourth Proportional to 456.57, 684.77 and 167.81

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Solution

The fourth proportional to 456.57, 684.77 and 167.81 is: 251.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.57 : 684.77 = 167.81 : x
  2. Step 2: Convert to fraction form
    456.57/684.77 = 167.81/x
  3. Step 3: Cross multiply
    456.57x = 684.77 × 167.81
  4. Step 4: Simplify right side
    456.57x = 114,906.99
  5. Step 5: Solve for x
    x = 114,906.99/456.57
  6. Step 6: Final answer
    x = 251.67

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