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Finding the Fourth Proportional to 166.64, 250 and 165.20

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Solution

The fourth proportional to 166.64, 250 and 165.20 is: 247.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.64 : 250 = 165.20 : x
  2. Step 2: Convert to fraction form
    166.64/250 = 165.20/x
  3. Step 3: Cross multiply
    166.64x = 250 × 165.20
  4. Step 4: Simplify right side
    166.64x = 41,300
  5. Step 5: Solve for x
    x = 41,300/166.64
  6. Step 6: Final answer
    x = 247.84

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