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Finding the Fourth Proportional to 384.21, 575.73 and 178.54

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Solution

The fourth proportional to 384.21, 575.73 and 178.54 is: 267.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.21 : 575.73 = 178.54 : x
  2. Step 2: Convert to fraction form
    384.21/575.73 = 178.54/x
  3. Step 3: Cross multiply
    384.21x = 575.73 × 178.54
  4. Step 4: Simplify right side
    384.21x = 102,790.06
  5. Step 5: Solve for x
    x = 102,790.06/384.21
  6. Step 6: Final answer
    x = 267.54

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