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Finding the Fourth Proportional to 242.79, 364.25 and 105.86

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Solution

The fourth proportional to 242.79, 364.25 and 105.86 is: 158.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.79 : 364.25 = 105.86 : x
  2. Step 2: Convert to fraction form
    242.79/364.25 = 105.86/x
  3. Step 3: Cross multiply
    242.79x = 364.25 × 105.86
  4. Step 4: Simplify right side
    242.79x = 38,558.98
  5. Step 5: Solve for x
    x = 38,558.98/242.79
  6. Step 6: Final answer
    x = 158.82

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