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Finding the Fourth Proportional to 188.82, 282.93 and 116.54

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Solution

The fourth proportional to 188.82, 282.93 and 116.54 is: 174.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.82 : 282.93 = 116.54 : x
  2. Step 2: Convert to fraction form
    188.82/282.93 = 116.54/x
  3. Step 3: Cross multiply
    188.82x = 282.93 × 116.54
  4. Step 4: Simplify right side
    188.82x = 32,971.25
  5. Step 5: Solve for x
    x = 32,971.25/188.82
  6. Step 6: Final answer
    x = 174.62

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