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Finding the Fourth Proportional to 377.31, 565.80 and 133.83

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Solution

The fourth proportional to 377.31, 565.80 and 133.83 is: 200.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.31 : 565.80 = 133.83 : x
  2. Step 2: Convert to fraction form
    377.31/565.80 = 133.83/x
  3. Step 3: Cross multiply
    377.31x = 565.80 × 133.83
  4. Step 4: Simplify right side
    377.31x = 75,721.01
  5. Step 5: Solve for x
    x = 75,721.01/377.31
  6. Step 6: Final answer
    x = 200.69

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