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Finding the Fourth Proportional to 186.64, 280.16 and 105.64

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Solution

The fourth proportional to 186.64, 280.16 and 105.64 is: 158.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.64 : 280.16 = 105.64 : x
  2. Step 2: Convert to fraction form
    186.64/280.16 = 105.64/x
  3. Step 3: Cross multiply
    186.64x = 280.16 × 105.64
  4. Step 4: Simplify right side
    186.64x = 29,596.10
  5. Step 5: Solve for x
    x = 29,596.10/186.64
  6. Step 6: Final answer
    x = 158.57

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