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Finding the Fourth Proportional to 299.81, 449.53 and 104.74

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Solution

The fourth proportional to 299.81, 449.53 and 104.74 is: 157.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.81 : 449.53 = 104.74 : x
  2. Step 2: Convert to fraction form
    299.81/449.53 = 104.74/x
  3. Step 3: Cross multiply
    299.81x = 449.53 × 104.74
  4. Step 4: Simplify right side
    299.81x = 47,083.77
  5. Step 5: Solve for x
    x = 47,083.77/299.81
  6. Step 6: Final answer
    x = 157.05

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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.