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Finding the Fourth Proportional to 299.63, 449.00 and 145.37

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Solution

The fourth proportional to 299.63, 449.00 and 145.37 is: 217.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.63 : 449.00 = 145.37 : x
  2. Step 2: Convert to fraction form
    299.63/449.00 = 145.37/x
  3. Step 3: Cross multiply
    299.63x = 449.00 × 145.37
  4. Step 4: Simplify right side
    299.63x = 65,268.16
  5. Step 5: Solve for x
    x = 65,268.16/299.63
  6. Step 6: Final answer
    x = 217.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.