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Finding the Fourth Proportional to 384.21, 576.69 and 178.82

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Solution

The fourth proportional to 384.21, 576.69 and 178.82 is: 268.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.21 : 576.69 = 178.82 : x
  2. Step 2: Convert to fraction form
    384.21/576.69 = 178.82/x
  3. Step 3: Cross multiply
    384.21x = 576.69 × 178.82
  4. Step 4: Simplify right side
    384.21x = 103,125.15
  5. Step 5: Solve for x
    x = 103,125.15/384.21
  6. Step 6: Final answer
    x = 268.41

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