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Finding the Fourth Proportional to 252, 378.09 and 123.84

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Solution

The fourth proportional to 252, 378.09 and 123.84 is: 185.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    252 : 378.09 = 123.84 : x
  2. Step 2: Convert to fraction form
    252/378.09 = 123.84/x
  3. Step 3: Cross multiply
    252x = 378.09 × 123.84
  4. Step 4: Simplify right side
    252x = 46,822.67
  5. Step 5: Solve for x
    x = 46,822.67/252
  6. Step 6: Final answer
    x = 185.80

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