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Finding the Fourth Proportional to 358.86, 538.35 and 142.41

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Solution

The fourth proportional to 358.86, 538.35 and 142.41 is: 213.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.86 : 538.35 = 142.41 : x
  2. Step 2: Convert to fraction form
    358.86/538.35 = 142.41/x
  3. Step 3: Cross multiply
    358.86x = 538.35 × 142.41
  4. Step 4: Simplify right side
    358.86x = 76,666.42
  5. Step 5: Solve for x
    x = 76,666.42/358.86
  6. Step 6: Final answer
    x = 213.64

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