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Finding the Fourth Proportional to 299.70, 449.33 and 117.11

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Solution

The fourth proportional to 299.70, 449.33 and 117.11 is: 175.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.70 : 449.33 = 117.11 : x
  2. Step 2: Convert to fraction form
    299.70/449.33 = 117.11/x
  3. Step 3: Cross multiply
    299.70x = 449.33 × 117.11
  4. Step 4: Simplify right side
    299.70x = 52,618.20
  5. Step 5: Solve for x
    x = 52,618.20/299.70
  6. Step 6: Final answer
    x = 175.57

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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.