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Finding the Fourth Proportional to 282.84, 390 and 199.80

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Solution

The fourth proportional to 282.84, 390 and 199.80 is: 275.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.84 : 390 = 199.80 : x
  2. Step 2: Convert to fraction form
    282.84/390 = 199.80/x
  3. Step 3: Cross multiply
    282.84x = 390 × 199.80
  4. Step 4: Simplify right side
    282.84x = 77,922
  5. Step 5: Solve for x
    x = 77,922/282.84
  6. Step 6: Final answer
    x = 275.50

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