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Finding the Fourth Proportional to 377.78, 566.78 and 146.70

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Solution

The fourth proportional to 377.78, 566.78 and 146.70 is: 220.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.78 : 566.78 = 146.70 : x
  2. Step 2: Convert to fraction form
    377.78/566.78 = 146.70/x
  3. Step 3: Cross multiply
    377.78x = 566.78 × 146.70
  4. Step 4: Simplify right side
    377.78x = 83,145.89
  5. Step 5: Solve for x
    x = 83,145.89/377.78
  6. Step 6: Final answer
    x = 220.09

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