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Finding the Fourth Proportional to 204.02, 306.60 and 140.30

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Solution

The fourth proportional to 204.02, 306.60 and 140.30 is: 210.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.02 : 306.60 = 140.30 : x
  2. Step 2: Convert to fraction form
    204.02/306.60 = 140.30/x
  3. Step 3: Cross multiply
    204.02x = 306.60 × 140.30
  4. Step 4: Simplify right side
    204.02x = 43,015.98
  5. Step 5: Solve for x
    x = 43,015.98/204.02
  6. Step 6: Final answer
    x = 210.84

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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.