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Finding the Fourth Proportional to 389.02, 583.40 and 142.16

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Solution

The fourth proportional to 389.02, 583.40 and 142.16 is: 213.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.02 : 583.40 = 142.16 : x
  2. Step 2: Convert to fraction form
    389.02/583.40 = 142.16/x
  3. Step 3: Cross multiply
    389.02x = 583.40 × 142.16
  4. Step 4: Simplify right side
    389.02x = 82,936.14
  5. Step 5: Solve for x
    x = 82,936.14/389.02
  6. Step 6: Final answer
    x = 213.19

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