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Finding the Fourth Proportional to 299.64, 449.61 and 203.25

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Solution

The fourth proportional to 299.64, 449.61 and 203.25 is: 304.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.64 : 449.61 = 203.25 : x
  2. Step 2: Convert to fraction form
    299.64/449.61 = 203.25/x
  3. Step 3: Cross multiply
    299.64x = 449.61 × 203.25
  4. Step 4: Simplify right side
    299.64x = 91,383.23
  5. Step 5: Solve for x
    x = 91,383.23/299.64
  6. Step 6: Final answer
    x = 304.98

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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.