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Finding the Fourth Proportional to 298.79, 448.00 and 116.24

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Solution

The fourth proportional to 298.79, 448.00 and 116.24 is: 174.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.79 : 448.00 = 116.24 : x
  2. Step 2: Convert to fraction form
    298.79/448.00 = 116.24/x
  3. Step 3: Cross multiply
    298.79x = 448.00 × 116.24
  4. Step 4: Simplify right side
    298.79x = 52,072.99
  5. Step 5: Solve for x
    x = 52,072.99/298.79
  6. Step 6: Final answer
    x = 174.28

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