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Finding the Fourth Proportional to 300.19, 450.41 and 153.85

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Solution

The fourth proportional to 300.19, 450.41 and 153.85 is: 230.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.19 : 450.41 = 153.85 : x
  2. Step 2: Convert to fraction form
    300.19/450.41 = 153.85/x
  3. Step 3: Cross multiply
    300.19x = 450.41 × 153.85
  4. Step 4: Simplify right side
    300.19x = 69,295.58
  5. Step 5: Solve for x
    x = 69,295.58/300.19
  6. Step 6: Final answer
    x = 230.84

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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.