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Finding the Fourth Proportional to 307.76, 461.43 and 161.42

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Solution

The fourth proportional to 307.76, 461.43 and 161.42 is: 242.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.76 : 461.43 = 161.42 : x
  2. Step 2: Convert to fraction form
    307.76/461.43 = 161.42/x
  3. Step 3: Cross multiply
    307.76x = 461.43 × 161.42
  4. Step 4: Simplify right side
    307.76x = 74,484.03
  5. Step 5: Solve for x
    x = 74,484.03/307.76
  6. Step 6: Final answer
    x = 242.02

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