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Finding the Fourth Proportional to 300.34, 449.49 and 184.87

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Solution

The fourth proportional to 300.34, 449.49 and 184.87 is: 276.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.34 : 449.49 = 184.87 : x
  2. Step 2: Convert to fraction form
    300.34/449.49 = 184.87/x
  3. Step 3: Cross multiply
    300.34x = 449.49 × 184.87
  4. Step 4: Simplify right side
    300.34x = 83,097.22
  5. Step 5: Solve for x
    x = 83,097.22/300.34
  6. Step 6: Final answer
    x = 276.68

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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.