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Finding the Fourth Proportional to 309.81, 464.91 and 161.58

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Solution

The fourth proportional to 309.81, 464.91 and 161.58 is: 242.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.81 : 464.91 = 161.58 : x
  2. Step 2: Convert to fraction form
    309.81/464.91 = 161.58/x
  3. Step 3: Cross multiply
    309.81x = 464.91 × 161.58
  4. Step 4: Simplify right side
    309.81x = 75,120.16
  5. Step 5: Solve for x
    x = 75,120.16/309.81
  6. Step 6: Final answer
    x = 242.47

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