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Finding the Fourth Proportional to 359.24, 538.94 and 142.84

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Solution

The fourth proportional to 359.24, 538.94 and 142.84 is: 214.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.24 : 538.94 = 142.84 : x
  2. Step 2: Convert to fraction form
    359.24/538.94 = 142.84/x
  3. Step 3: Cross multiply
    359.24x = 538.94 × 142.84
  4. Step 4: Simplify right side
    359.24x = 76,982.19
  5. Step 5: Solve for x
    x = 76,982.19/359.24
  6. Step 6: Final answer
    x = 214.29

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