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Finding the Fourth Proportional to 377.25, 565.88 and 120.75

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Solution

The fourth proportional to 377.25, 565.88 and 120.75 is: 181.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.25 : 565.88 = 120.75 : x
  2. Step 2: Convert to fraction form
    377.25/565.88 = 120.75/x
  3. Step 3: Cross multiply
    377.25x = 565.88 × 120.75
  4. Step 4: Simplify right side
    377.25x = 68,329.41
  5. Step 5: Solve for x
    x = 68,329.41/377.25
  6. Step 6: Final answer
    x = 181.13

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