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Finding the Fourth Proportional to 282.53, 423.90 and 120.33

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Solution

The fourth proportional to 282.53, 423.90 and 120.33 is: 180.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.53 : 423.90 = 120.33 : x
  2. Step 2: Convert to fraction form
    282.53/423.90 = 120.33/x
  3. Step 3: Cross multiply
    282.53x = 423.90 × 120.33
  4. Step 4: Simplify right side
    282.53x = 51,007.89
  5. Step 5: Solve for x
    x = 51,007.89/282.53
  6. Step 6: Final answer
    x = 180.54

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