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Finding the Fourth Proportional to 299.71, 449.25 and 117.06

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Solution

The fourth proportional to 299.71, 449.25 and 117.06 is: 175.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.71 : 449.25 = 117.06 : x
  2. Step 2: Convert to fraction form
    299.71/449.25 = 117.06/x
  3. Step 3: Cross multiply
    299.71x = 449.25 × 117.06
  4. Step 4: Simplify right side
    299.71x = 52,589.21
  5. Step 5: Solve for x
    x = 52,589.21/299.71
  6. Step 6: Final answer
    x = 175.47

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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.