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Finding the Fourth Proportional to 299.32, 449.01 and 106.93

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Solution

The fourth proportional to 299.32, 449.01 and 106.93 is: 160.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.32 : 449.01 = 106.93 : x
  2. Step 2: Convert to fraction form
    299.32/449.01 = 106.93/x
  3. Step 3: Cross multiply
    299.32x = 449.01 × 106.93
  4. Step 4: Simplify right side
    299.32x = 48,012.64
  5. Step 5: Solve for x
    x = 48,012.64/299.32
  6. Step 6: Final answer
    x = 160.41

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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.