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Finding the Fourth Proportional to 165.78, 228.78 and 95.84

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Solution

The fourth proportional to 165.78, 228.78 and 95.84 is: 132.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.78 : 228.78 = 95.84 : x
  2. Step 2: Convert to fraction form
    165.78/228.78 = 95.84/x
  3. Step 3: Cross multiply
    165.78x = 228.78 × 95.84
  4. Step 4: Simplify right side
    165.78x = 21,927.28
  5. Step 5: Solve for x
    x = 21,927.28/165.78
  6. Step 6: Final answer
    x = 132.27

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