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Finding the Fourth Proportional to 364.56, 546.36 and 171.78

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Solution

The fourth proportional to 364.56, 546.36 and 171.78 is: 257.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.56 : 546.36 = 171.78 : x
  2. Step 2: Convert to fraction form
    364.56/546.36 = 171.78/x
  3. Step 3: Cross multiply
    364.56x = 546.36 × 171.78
  4. Step 4: Simplify right side
    364.56x = 93,853.72
  5. Step 5: Solve for x
    x = 93,853.72/364.56
  6. Step 6: Final answer
    x = 257.44

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