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Finding the Fourth Proportional to 164.93, 247.38 and 78.20

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Solution

The fourth proportional to 164.93, 247.38 and 78.20 is: 117.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.93 : 247.38 = 78.20 : x
  2. Step 2: Convert to fraction form
    164.93/247.38 = 78.20/x
  3. Step 3: Cross multiply
    164.93x = 247.38 × 78.20
  4. Step 4: Simplify right side
    164.93x = 19,343.88
  5. Step 5: Solve for x
    x = 19,343.88/164.93
  6. Step 6: Final answer
    x = 117.29

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