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Finding the Fourth Proportional to 189.23, 283.85 and 161.99

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Solution

The fourth proportional to 189.23, 283.85 and 161.99 is: 242.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.23 : 283.85 = 161.99 : x
  2. Step 2: Convert to fraction form
    189.23/283.85 = 161.99/x
  3. Step 3: Cross multiply
    189.23x = 283.85 × 161.99
  4. Step 4: Simplify right side
    189.23x = 45,980.86
  5. Step 5: Solve for x
    x = 45,980.86/189.23
  6. Step 6: Final answer
    x = 242.99

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