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Finding the Fourth Proportional to 257.85, 386.76 and 120.81

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Solution

The fourth proportional to 257.85, 386.76 and 120.81 is: 181.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.85 : 386.76 = 120.81 : x
  2. Step 2: Convert to fraction form
    257.85/386.76 = 120.81/x
  3. Step 3: Cross multiply
    257.85x = 386.76 × 120.81
  4. Step 4: Simplify right side
    257.85x = 46,724.48
  5. Step 5: Solve for x
    x = 46,724.48/257.85
  6. Step 6: Final answer
    x = 181.21

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