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Finding the Fourth Proportional to 300.30, 449.64 and 178.26

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Solution

The fourth proportional to 300.30, 449.64 and 178.26 is: 266.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.30 : 449.64 = 178.26 : x
  2. Step 2: Convert to fraction form
    300.30/449.64 = 178.26/x
  3. Step 3: Cross multiply
    300.30x = 449.64 × 178.26
  4. Step 4: Simplify right side
    300.30x = 80,152.83
  5. Step 5: Solve for x
    x = 80,152.83/300.30
  6. Step 6: Final answer
    x = 266.91

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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.