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Finding the Fourth Proportional to 254.08, 380.99 and 180.91

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Solution

The fourth proportional to 254.08, 380.99 and 180.91 is: 271.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.08 : 380.99 = 180.91 : x
  2. Step 2: Convert to fraction form
    254.08/380.99 = 180.91/x
  3. Step 3: Cross multiply
    254.08x = 380.99 × 180.91
  4. Step 4: Simplify right side
    254.08x = 68,925.14
  5. Step 5: Solve for x
    x = 68,925.14/254.08
  6. Step 6: Final answer
    x = 271.28

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