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Finding the Fourth Proportional to 299.99, 450.26 and 153.84

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Solution

The fourth proportional to 299.99, 450.26 and 153.84 is: 230.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.99 : 450.26 = 153.84 : x
  2. Step 2: Convert to fraction form
    299.99/450.26 = 153.84/x
  3. Step 3: Cross multiply
    299.99x = 450.26 × 153.84
  4. Step 4: Simplify right side
    299.99x = 69,268.92
  5. Step 5: Solve for x
    x = 69,268.92/299.99
  6. Step 6: Final answer
    x = 230.90

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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.