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Finding the Fourth Proportional to 205.02, 307.43 and 140.02

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Solution

The fourth proportional to 205.02, 307.43 and 140.02 is: 209.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.02 : 307.43 = 140.02 : x
  2. Step 2: Convert to fraction form
    205.02/307.43 = 140.02/x
  3. Step 3: Cross multiply
    205.02x = 307.43 × 140.02
  4. Step 4: Simplify right side
    205.02x = 43,046.35
  5. Step 5: Solve for x
    x = 43,046.35/205.02
  6. Step 6: Final answer
    x = 209.96

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