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Finding the Fourth Proportional to 208.24, 312.76 and 174.20

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Solution

The fourth proportional to 208.24, 312.76 and 174.20 is: 261.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.24 : 312.76 = 174.20 : x
  2. Step 2: Convert to fraction form
    208.24/312.76 = 174.20/x
  3. Step 3: Cross multiply
    208.24x = 312.76 × 174.20
  4. Step 4: Simplify right side
    208.24x = 54,482.79
  5. Step 5: Solve for x
    x = 54,482.79/208.24
  6. Step 6: Final answer
    x = 261.63

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