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Finding the Fourth Proportional to 165.42, 248.00 and 96.98

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Solution

The fourth proportional to 165.42, 248.00 and 96.98 is: 145.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.42 : 248.00 = 96.98 : x
  2. Step 2: Convert to fraction form
    165.42/248.00 = 96.98/x
  3. Step 3: Cross multiply
    165.42x = 248.00 × 96.98
  4. Step 4: Simplify right side
    165.42x = 24,049.32
  5. Step 5: Solve for x
    x = 24,049.32/165.42
  6. Step 6: Final answer
    x = 145.38

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