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Finding the Fourth Proportional to 300.18, 449.96 and 117.57

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Solution

The fourth proportional to 300.18, 449.96 and 117.57 is: 176.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.18 : 449.96 = 117.57 : x
  2. Step 2: Convert to fraction form
    300.18/449.96 = 117.57/x
  3. Step 3: Cross multiply
    300.18x = 449.96 × 117.57
  4. Step 4: Simplify right side
    300.18x = 52,901.21
  5. Step 5: Solve for x
    x = 52,901.21/300.18
  6. Step 6: Final answer
    x = 176.23

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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.