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Finding the Fourth Proportional to 259.80, 389.70 and 199.08

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Solution

The fourth proportional to 259.80, 389.70 and 199.08 is: 298.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.80 : 389.70 = 199.08 : x
  2. Step 2: Convert to fraction form
    259.80/389.70 = 199.08/x
  3. Step 3: Cross multiply
    259.80x = 389.70 × 199.08
  4. Step 4: Simplify right side
    259.80x = 77,581.48
  5. Step 5: Solve for x
    x = 77,581.48/259.80
  6. Step 6: Final answer
    x = 298.62

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