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Finding the Fourth Proportional to 305.94, 458.91 and 161.76

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Solution

The fourth proportional to 305.94, 458.91 and 161.76 is: 242.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.94 : 458.91 = 161.76 : x
  2. Step 2: Convert to fraction form
    305.94/458.91 = 161.76/x
  3. Step 3: Cross multiply
    305.94x = 458.91 × 161.76
  4. Step 4: Simplify right side
    305.94x = 74,233.28
  5. Step 5: Solve for x
    x = 74,233.28/305.94
  6. Step 6: Final answer
    x = 242.64

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