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Finding the Fourth Proportional to 189.82, 284.77 and 59.84

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Solution

The fourth proportional to 189.82, 284.77 and 59.84 is: 89.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.82 : 284.77 = 59.84 : x
  2. Step 2: Convert to fraction form
    189.82/284.77 = 59.84/x
  3. Step 3: Cross multiply
    189.82x = 284.77 × 59.84
  4. Step 4: Simplify right side
    189.82x = 17,038.91
  5. Step 5: Solve for x
    x = 17,038.91/189.82
  6. Step 6: Final answer
    x = 89.76

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