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Finding the Fourth Proportional to 231.76, 346.80 and 185.92

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Solution

The fourth proportional to 231.76, 346.80 and 185.92 is: 278.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.76 : 346.80 = 185.92 : x
  2. Step 2: Convert to fraction form
    231.76/346.80 = 185.92/x
  3. Step 3: Cross multiply
    231.76x = 346.80 × 185.92
  4. Step 4: Simplify right side
    231.76x = 64,477.06
  5. Step 5: Solve for x
    x = 64,477.06/231.76
  6. Step 6: Final answer
    x = 278.21

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