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Finding the Fourth Proportional to 204.40, 305 and 203.20

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Solution

The fourth proportional to 204.40, 305 and 203.20 is: 303.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.40 : 305 = 203.20 : x
  2. Step 2: Convert to fraction form
    204.40/305 = 203.20/x
  3. Step 3: Cross multiply
    204.40x = 305 × 203.20
  4. Step 4: Simplify right side
    204.40x = 61,976
  5. Step 5: Solve for x
    x = 61,976/204.40
  6. Step 6: Final answer
    x = 303.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.