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Finding the Fourth Proportional to 313.76, 470.71 and 118.76

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Solution

The fourth proportional to 313.76, 470.71 and 118.76 is: 178.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.76 : 470.71 = 118.76 : x
  2. Step 2: Convert to fraction form
    313.76/470.71 = 118.76/x
  3. Step 3: Cross multiply
    313.76x = 470.71 × 118.76
  4. Step 4: Simplify right side
    313.76x = 55,901.52
  5. Step 5: Solve for x
    x = 55,901.52/313.76
  6. Step 6: Final answer
    x = 178.17

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