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Finding the Fourth Proportional to 358.80, 538.44 and 142.38

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Solution

The fourth proportional to 358.80, 538.44 and 142.38 is: 213.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.80 : 538.44 = 142.38 : x
  2. Step 2: Convert to fraction form
    358.80/538.44 = 142.38/x
  3. Step 3: Cross multiply
    358.80x = 538.44 × 142.38
  4. Step 4: Simplify right side
    358.80x = 76,663.09
  5. Step 5: Solve for x
    x = 76,663.09/358.80
  6. Step 6: Final answer
    x = 213.67

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