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Finding the Fourth Proportional to 204.68, 307.44 and 174.44

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Solution

The fourth proportional to 204.68, 307.44 and 174.44 is: 262.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.68 : 307.44 = 174.44 : x
  2. Step 2: Convert to fraction form
    204.68/307.44 = 174.44/x
  3. Step 3: Cross multiply
    204.68x = 307.44 × 174.44
  4. Step 4: Simplify right side
    204.68x = 53,629.83
  5. Step 5: Solve for x
    x = 53,629.83/204.68
  6. Step 6: Final answer
    x = 262.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.