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Finding the Fourth Proportional to 178.86, 268.53 and 105.87

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Solution

The fourth proportional to 178.86, 268.53 and 105.87 is: 158.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.86 : 268.53 = 105.87 : x
  2. Step 2: Convert to fraction form
    178.86/268.53 = 105.87/x
  3. Step 3: Cross multiply
    178.86x = 268.53 × 105.87
  4. Step 4: Simplify right side
    178.86x = 28,429.27
  5. Step 5: Solve for x
    x = 28,429.27/178.86
  6. Step 6: Final answer
    x = 158.95

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