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Finding the Fourth Proportional to 377.56, 566.40 and 146.46

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Solution

The fourth proportional to 377.56, 566.40 and 146.46 is: 219.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.56 : 566.40 = 146.46 : x
  2. Step 2: Convert to fraction form
    377.56/566.40 = 146.46/x
  3. Step 3: Cross multiply
    377.56x = 566.40 × 146.46
  4. Step 4: Simplify right side
    377.56x = 82,954.94
  5. Step 5: Solve for x
    x = 82,954.94/377.56
  6. Step 6: Final answer
    x = 219.71

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