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Finding the Fourth Proportional to 383.92, 575.72 and 178.46

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Solution

The fourth proportional to 383.92, 575.72 and 178.46 is: 267.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.92 : 575.72 = 178.46 : x
  2. Step 2: Convert to fraction form
    383.92/575.72 = 178.46/x
  3. Step 3: Cross multiply
    383.92x = 575.72 × 178.46
  4. Step 4: Simplify right side
    383.92x = 102,742.99
  5. Step 5: Solve for x
    x = 102,742.99/383.92
  6. Step 6: Final answer
    x = 267.62

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