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Finding the Fourth Proportional to 380.80, 570.88 and 188.24

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Solution

The fourth proportional to 380.80, 570.88 and 188.24 is: 282.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.80 : 570.88 = 188.24 : x
  2. Step 2: Convert to fraction form
    380.80/570.88 = 188.24/x
  3. Step 3: Cross multiply
    380.80x = 570.88 × 188.24
  4. Step 4: Simplify right side
    380.80x = 107,462.45
  5. Step 5: Solve for x
    x = 107,462.45/380.80
  6. Step 6: Final answer
    x = 282.20

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