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Finding the Fourth Proportional to 378.02, 566.59 and 146.80

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Solution

The fourth proportional to 378.02, 566.59 and 146.80 is: 220.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.02 : 566.59 = 146.80 : x
  2. Step 2: Convert to fraction form
    378.02/566.59 = 146.80/x
  3. Step 3: Cross multiply
    378.02x = 566.59 × 146.80
  4. Step 4: Simplify right side
    378.02x = 83,175.41
  5. Step 5: Solve for x
    x = 83,175.41/378.02
  6. Step 6: Final answer
    x = 220.03

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