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Finding the Fourth Proportional to 376.75, 565.21 and 116.74

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Solution

The fourth proportional to 376.75, 565.21 and 116.74 is: 175.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.75 : 565.21 = 116.74 : x
  2. Step 2: Convert to fraction form
    376.75/565.21 = 116.74/x
  3. Step 3: Cross multiply
    376.75x = 565.21 × 116.74
  4. Step 4: Simplify right side
    376.75x = 65,980.29
  5. Step 5: Solve for x
    x = 65,980.29/376.75
  6. Step 6: Final answer
    x = 175.13

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