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Finding the Fourth Proportional to 300.34, 449.85 and 145.94

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Solution

The fourth proportional to 300.34, 449.85 and 145.94 is: 218.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.34 : 449.85 = 145.94 : x
  2. Step 2: Convert to fraction form
    300.34/449.85 = 145.94/x
  3. Step 3: Cross multiply
    300.34x = 449.85 × 145.94
  4. Step 4: Simplify right side
    300.34x = 65,648.86
  5. Step 5: Solve for x
    x = 65,648.86/300.34
  6. Step 6: Final answer
    x = 218.59

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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.