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Finding the Fourth Proportional to 299.54, 449.80 and 202.66

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Solution

The fourth proportional to 299.54, 449.80 and 202.66 is: 304.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.54 : 449.80 = 202.66 : x
  2. Step 2: Convert to fraction form
    299.54/449.80 = 202.66/x
  3. Step 3: Cross multiply
    299.54x = 449.80 × 202.66
  4. Step 4: Simplify right side
    299.54x = 91,156.47
  5. Step 5: Solve for x
    x = 91,156.47/299.54
  6. Step 6: Final answer
    x = 304.32

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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.