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Finding the Fourth Proportional to 547.91, 821.85 and 177.72

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Solution

The fourth proportional to 547.91, 821.85 and 177.72 is: 266.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.91 : 821.85 = 177.72 : x
  2. Step 2: Convert to fraction form
    547.91/821.85 = 177.72/x
  3. Step 3: Cross multiply
    547.91x = 821.85 × 177.72
  4. Step 4: Simplify right side
    547.91x = 146,063.37
  5. Step 5: Solve for x
    x = 146,063.37/547.91
  6. Step 6: Final answer
    x = 266.58

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