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Finding the Fourth Proportional to 189.65, 284.25 and 67.83

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Solution

The fourth proportional to 189.65, 284.25 and 67.83 is: 101.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.65 : 284.25 = 67.83 : x
  2. Step 2: Convert to fraction form
    189.65/284.25 = 67.83/x
  3. Step 3: Cross multiply
    189.65x = 284.25 × 67.83
  4. Step 4: Simplify right side
    189.65x = 19,280.68
  5. Step 5: Solve for x
    x = 19,280.68/189.65
  6. Step 6: Final answer
    x = 101.67

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