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Finding the Fourth Proportional to 205.26, 307.71 and 96.99

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Solution

The fourth proportional to 205.26, 307.71 and 96.99 is: 145.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.26 : 307.71 = 96.99 : x
  2. Step 2: Convert to fraction form
    205.26/307.71 = 96.99/x
  3. Step 3: Cross multiply
    205.26x = 307.71 × 96.99
  4. Step 4: Simplify right side
    205.26x = 29,844.79
  5. Step 5: Solve for x
    x = 29,844.79/205.26
  6. Step 6: Final answer
    x = 145.40

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