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Finding the Fourth Proportional to 186.56, 278.40 and 164.96

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Solution

The fourth proportional to 186.56, 278.40 and 164.96 is: 246.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.56 : 278.40 = 164.96 : x
  2. Step 2: Convert to fraction form
    186.56/278.40 = 164.96/x
  3. Step 3: Cross multiply
    186.56x = 278.40 × 164.96
  4. Step 4: Simplify right side
    186.56x = 45,924.86
  5. Step 5: Solve for x
    x = 45,924.86/186.56
  6. Step 6: Final answer
    x = 246.17

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