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Finding the Fourth Proportional to 188.21, 259.68 and 105.30

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Solution

The fourth proportional to 188.21, 259.68 and 105.30 is: 145.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.21 : 259.68 = 105.30 : x
  2. Step 2: Convert to fraction form
    188.21/259.68 = 105.30/x
  3. Step 3: Cross multiply
    188.21x = 259.68 × 105.30
  4. Step 4: Simplify right side
    188.21x = 27,344.30
  5. Step 5: Solve for x
    x = 27,344.30/188.21
  6. Step 6: Final answer
    x = 145.29

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