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Finding the Fourth Proportional to 298.16, 447.24 and 105.76

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Solution

The fourth proportional to 298.16, 447.24 and 105.76 is: 158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.16 : 447.24 = 105.76 : x
  2. Step 2: Convert to fraction form
    298.16/447.24 = 105.76/x
  3. Step 3: Cross multiply
    298.16x = 447.24 × 105.76
  4. Step 4: Simplify right side
    298.16x = 47,300.10
  5. Step 5: Solve for x
    x = 47,300.10/298.16
  6. Step 6: Final answer
    x = 158.64

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