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Finding the Fourth Proportional to 378.08, 566.76 and 146.80

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Solution

The fourth proportional to 378.08, 566.76 and 146.80 is: 220.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.08 : 566.76 = 146.80 : x
  2. Step 2: Convert to fraction form
    378.08/566.76 = 146.80/x
  3. Step 3: Cross multiply
    378.08x = 566.76 × 146.80
  4. Step 4: Simplify right side
    378.08x = 83,200.37
  5. Step 5: Solve for x
    x = 83,200.37/378.08
  6. Step 6: Final answer
    x = 220.06

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