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Finding the Fourth Proportional to 299.64, 449.19 and 153.18

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Solution

The fourth proportional to 299.64, 449.19 and 153.18 is: 229.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.64 : 449.19 = 153.18 : x
  2. Step 2: Convert to fraction form
    299.64/449.19 = 153.18/x
  3. Step 3: Cross multiply
    299.64x = 449.19 × 153.18
  4. Step 4: Simplify right side
    299.64x = 68,806.92
  5. Step 5: Solve for x
    x = 68,806.92/299.64
  6. Step 6: Final answer
    x = 229.63

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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.