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Finding the Fourth Proportional to 189, 282.86 and 178.48

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Solution

The fourth proportional to 189, 282.86 and 178.48 is: 267.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    189 : 282.86 = 178.48 : x
  2. Step 2: Convert to fraction form
    189/282.86 = 178.48/x
  3. Step 3: Cross multiply
    189x = 282.86 × 178.48
  4. Step 4: Simplify right side
    189x = 50,484.85
  5. Step 5: Solve for x
    x = 50,484.85/189
  6. Step 6: Final answer
    x = 267.12

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