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Finding the Fourth Proportional to 449.89, 674.96 and 141.74

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Solution

The fourth proportional to 449.89, 674.96 and 141.74 is: 212.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.89 : 674.96 = 141.74 : x
  2. Step 2: Convert to fraction form
    449.89/674.96 = 141.74/x
  3. Step 3: Cross multiply
    449.89x = 674.96 × 141.74
  4. Step 4: Simplify right side
    449.89x = 95,665.46
  5. Step 5: Solve for x
    x = 95,665.46/449.89
  6. Step 6: Final answer
    x = 212.64

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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.