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Finding the Fourth Proportional to 177.22, 265.86 and 61.64

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Solution

The fourth proportional to 177.22, 265.86 and 61.64 is: 92.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.22 : 265.86 = 61.64 : x
  2. Step 2: Convert to fraction form
    177.22/265.86 = 61.64/x
  3. Step 3: Cross multiply
    177.22x = 265.86 × 61.64
  4. Step 4: Simplify right side
    177.22x = 16,387.61
  5. Step 5: Solve for x
    x = 16,387.61/177.22
  6. Step 6: Final answer
    x = 92.47

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