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Finding the Fourth Proportional to 188.78, 283.80 and 152.96

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Solution

The fourth proportional to 188.78, 283.80 and 152.96 is: 229.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.78 : 283.80 = 152.96 : x
  2. Step 2: Convert to fraction form
    188.78/283.80 = 152.96/x
  3. Step 3: Cross multiply
    188.78x = 283.80 × 152.96
  4. Step 4: Simplify right side
    188.78x = 43,410.05
  5. Step 5: Solve for x
    x = 43,410.05/188.78
  6. Step 6: Final answer
    x = 229.95

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