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Finding the Fourth Proportional to 296.44, 409.18 and 185.84

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Solution

The fourth proportional to 296.44, 409.18 and 185.84 is: 256.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.44 : 409.18 = 185.84 : x
  2. Step 2: Convert to fraction form
    296.44/409.18 = 185.84/x
  3. Step 3: Cross multiply
    296.44x = 409.18 × 185.84
  4. Step 4: Simplify right side
    296.44x = 76,042.01
  5. Step 5: Solve for x
    x = 76,042.01/296.44
  6. Step 6: Final answer
    x = 256.52

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