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Finding the Fourth Proportional to 270.88, 405.98 and 116.78

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Solution

The fourth proportional to 270.88, 405.98 and 116.78 is: 175.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.88 : 405.98 = 116.78 : x
  2. Step 2: Convert to fraction form
    270.88/405.98 = 116.78/x
  3. Step 3: Cross multiply
    270.88x = 405.98 × 116.78
  4. Step 4: Simplify right side
    270.88x = 47,410.34
  5. Step 5: Solve for x
    x = 47,410.34/270.88
  6. Step 6: Final answer
    x = 175.02

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