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Finding the Fourth Proportional to 358.81, 538.23 and 142.40

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Solution

The fourth proportional to 358.81, 538.23 and 142.40 is: 213.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.81 : 538.23 = 142.40 : x
  2. Step 2: Convert to fraction form
    358.81/538.23 = 142.40/x
  3. Step 3: Cross multiply
    358.81x = 538.23 × 142.40
  4. Step 4: Simplify right side
    358.81x = 76,643.95
  5. Step 5: Solve for x
    x = 76,643.95/358.81
  6. Step 6: Final answer
    x = 213.61

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