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Finding the Fourth Proportional to 377.94, 566.96 and 146.78

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Solution

The fourth proportional to 377.94, 566.96 and 146.78 is: 220.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.94 : 566.96 = 146.78 : x
  2. Step 2: Convert to fraction form
    377.94/566.96 = 146.78/x
  3. Step 3: Cross multiply
    377.94x = 566.96 × 146.78
  4. Step 4: Simplify right side
    377.94x = 83,218.39
  5. Step 5: Solve for x
    x = 83,218.39/377.94
  6. Step 6: Final answer
    x = 220.19

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