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Finding the Fourth Proportional to 177.86, 266.79 and 47.85

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Solution

The fourth proportional to 177.86, 266.79 and 47.85 is: 71.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.86 : 266.79 = 47.85 : x
  2. Step 2: Convert to fraction form
    177.86/266.79 = 47.85/x
  3. Step 3: Cross multiply
    177.86x = 266.79 × 47.85
  4. Step 4: Simplify right side
    177.86x = 12,764.33
  5. Step 5: Solve for x
    x = 12,764.33/177.86
  6. Step 6: Final answer
    x = 71.77

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