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Finding the Fourth Proportional to 189.85, 284.65 and 97.36

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Solution

The fourth proportional to 189.85, 284.65 and 97.36 is: 145.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.85 : 284.65 = 97.36 : x
  2. Step 2: Convert to fraction form
    189.85/284.65 = 97.36/x
  3. Step 3: Cross multiply
    189.85x = 284.65 × 97.36
  4. Step 4: Simplify right side
    189.85x = 27,712.57
  5. Step 5: Solve for x
    x = 27,712.57/189.85
  6. Step 6: Final answer
    x = 145.97

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