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Finding the Fourth Proportional to 309.76, 427.36 and 185.47

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Solution

The fourth proportional to 309.76, 427.36 and 185.47 is: 255.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.76 : 427.36 = 185.47 : x
  2. Step 2: Convert to fraction form
    309.76/427.36 = 185.47/x
  3. Step 3: Cross multiply
    309.76x = 427.36 × 185.47
  4. Step 4: Simplify right side
    309.76x = 79,262.46
  5. Step 5: Solve for x
    x = 79,262.46/309.76
  6. Step 6: Final answer
    x = 255.88

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