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Finding the Fourth Proportional to 277.72, 416.58 and 161.80

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Solution

The fourth proportional to 277.72, 416.58 and 161.80 is: 242.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.72 : 416.58 = 161.80 : x
  2. Step 2: Convert to fraction form
    277.72/416.58 = 161.80/x
  3. Step 3: Cross multiply
    277.72x = 416.58 × 161.80
  4. Step 4: Simplify right side
    277.72x = 67,402.64
  5. Step 5: Solve for x
    x = 67,402.64/277.72
  6. Step 6: Final answer
    x = 242.70

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