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Finding the Fourth Proportional to 309.76, 464.23 and 172.74

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Solution

The fourth proportional to 309.76, 464.23 and 172.74 is: 258.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.76 : 464.23 = 172.74 : x
  2. Step 2: Convert to fraction form
    309.76/464.23 = 172.74/x
  3. Step 3: Cross multiply
    309.76x = 464.23 × 172.74
  4. Step 4: Simplify right side
    309.76x = 80,191.09
  5. Step 5: Solve for x
    x = 80,191.09/309.76
  6. Step 6: Final answer
    x = 258.88

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