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Finding the Fourth Proportional to 188.12, 282.32 and 96.78

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Solution

The fourth proportional to 188.12, 282.32 and 96.78 is: 145.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.12 : 282.32 = 96.78 : x
  2. Step 2: Convert to fraction form
    188.12/282.32 = 96.78/x
  3. Step 3: Cross multiply
    188.12x = 282.32 × 96.78
  4. Step 4: Simplify right side
    188.12x = 27,322.93
  5. Step 5: Solve for x
    x = 27,322.93/188.12
  6. Step 6: Final answer
    x = 145.24

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