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Finding the Fourth Proportional to 380.22, 570.57 and 136.74

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Solution

The fourth proportional to 380.22, 570.57 and 136.74 is: 205.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.22 : 570.57 = 136.74 : x
  2. Step 2: Convert to fraction form
    380.22/570.57 = 136.74/x
  3. Step 3: Cross multiply
    380.22x = 570.57 × 136.74
  4. Step 4: Simplify right side
    380.22x = 78,019.74
  5. Step 5: Solve for x
    x = 78,019.74/380.22
  6. Step 6: Final answer
    x = 205.20

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