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Finding the Fourth Proportional to 300.35, 450.53 and 115.26

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Solution

The fourth proportional to 300.35, 450.53 and 115.26 is: 172.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.35 : 450.53 = 115.26 : x
  2. Step 2: Convert to fraction form
    300.35/450.53 = 115.26/x
  3. Step 3: Cross multiply
    300.35x = 450.53 × 115.26
  4. Step 4: Simplify right side
    300.35x = 51,928.09
  5. Step 5: Solve for x
    x = 51,928.09/300.35
  6. Step 6: Final answer
    x = 172.89

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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.