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Finding the Fourth Proportional to 384.53, 576.39 and 178.93

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Solution

The fourth proportional to 384.53, 576.39 and 178.93 is: 268.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.53 : 576.39 = 178.93 : x
  2. Step 2: Convert to fraction form
    384.53/576.39 = 178.93/x
  3. Step 3: Cross multiply
    384.53x = 576.39 × 178.93
  4. Step 4: Simplify right side
    384.53x = 103,133.46
  5. Step 5: Solve for x
    x = 103,133.46/384.53
  6. Step 6: Final answer
    x = 268.21

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