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Finding the Fourth Proportional to 205.99, 309 and 59.75

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Solution

The fourth proportional to 205.99, 309 and 59.75 is: 89.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.99 : 309 = 59.75 : x
  2. Step 2: Convert to fraction form
    205.99/309 = 59.75/x
  3. Step 3: Cross multiply
    205.99x = 309 × 59.75
  4. Step 4: Simplify right side
    205.99x = 18,462.75
  5. Step 5: Solve for x
    x = 18,462.75/205.99
  6. Step 6: Final answer
    x = 89.63

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