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Finding the Fourth Proportional to 389.70, 584.10 and 142.80

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Solution

The fourth proportional to 389.70, 584.10 and 142.80 is: 214.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.70 : 584.10 = 142.80 : x
  2. Step 2: Convert to fraction form
    389.70/584.10 = 142.80/x
  3. Step 3: Cross multiply
    389.70x = 584.10 × 142.80
  4. Step 4: Simplify right side
    389.70x = 83,409.48
  5. Step 5: Solve for x
    x = 83,409.48/389.70
  6. Step 6: Final answer
    x = 214.04

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