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Finding the Fourth Proportional to 177.22, 265.62 and 85.78

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Solution

The fourth proportional to 177.22, 265.62 and 85.78 is: 128.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.22 : 265.62 = 85.78 : x
  2. Step 2: Convert to fraction form
    177.22/265.62 = 85.78/x
  3. Step 3: Cross multiply
    177.22x = 265.62 × 85.78
  4. Step 4: Simplify right side
    177.22x = 22,783.56
  5. Step 5: Solve for x
    x = 22,783.56/177.22
  6. Step 6: Final answer
    x = 128.56

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