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Finding the Fourth Proportional to 257.05, 385.80 and 180.06

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Solution

The fourth proportional to 257.05, 385.80 and 180.06 is: 270.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.05 : 385.80 = 180.06 : x
  2. Step 2: Convert to fraction form
    257.05/385.80 = 180.06/x
  3. Step 3: Cross multiply
    257.05x = 385.80 × 180.06
  4. Step 4: Simplify right side
    257.05x = 69,467.15
  5. Step 5: Solve for x
    x = 69,467.15/257.05
  6. Step 6: Final answer
    x = 270.25

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