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Finding the Fourth Proportional to 402.23, 602.84 and 194.00

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Solution

The fourth proportional to 402.23, 602.84 and 194.00 is: 290.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.23 : 602.84 = 194.00 : x
  2. Step 2: Convert to fraction form
    402.23/602.84 = 194.00/x
  3. Step 3: Cross multiply
    402.23x = 602.84 × 194.00
  4. Step 4: Simplify right side
    402.23x = 116,946.98
  5. Step 5: Solve for x
    x = 116,946.98/402.23
  6. Step 6: Final answer
    x = 290.75

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