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Finding the Fourth Proportional to 188.16, 282 and 123.84

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Solution

The fourth proportional to 188.16, 282 and 123.84 is: 185.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.16 : 282 = 123.84 : x
  2. Step 2: Convert to fraction form
    188.16/282 = 123.84/x
  3. Step 3: Cross multiply
    188.16x = 282 × 123.84
  4. Step 4: Simplify right side
    188.16x = 34,922.88
  5. Step 5: Solve for x
    x = 34,922.88/188.16
  6. Step 6: Final answer
    x = 185.60

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