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Finding the Fourth Proportional to 204.84, 307.40 and 96.64

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Solution

The fourth proportional to 204.84, 307.40 and 96.64 is: 145.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.84 : 307.40 = 96.64 : x
  2. Step 2: Convert to fraction form
    204.84/307.40 = 96.64/x
  3. Step 3: Cross multiply
    204.84x = 307.40 × 96.64
  4. Step 4: Simplify right side
    204.84x = 29,707.14
  5. Step 5: Solve for x
    x = 29,707.14/204.84
  6. Step 6: Final answer
    x = 145.03

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