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Finding the Fourth Proportional to 298.65, 447.64 and 116.02

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Solution

The fourth proportional to 298.65, 447.64 and 116.02 is: 173.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.65 : 447.64 = 116.02 : x
  2. Step 2: Convert to fraction form
    298.65/447.64 = 116.02/x
  3. Step 3: Cross multiply
    298.65x = 447.64 × 116.02
  4. Step 4: Simplify right side
    298.65x = 51,933.60
  5. Step 5: Solve for x
    x = 51,933.60/298.65
  6. Step 6: Final answer
    x = 173.89

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