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Finding the Fourth Proportional to 449.82, 674.82 and 141.75

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Solution

The fourth proportional to 449.82, 674.82 and 141.75 is: 212.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.82 : 674.82 = 141.75 : x
  2. Step 2: Convert to fraction form
    449.82/674.82 = 141.75/x
  3. Step 3: Cross multiply
    449.82x = 674.82 × 141.75
  4. Step 4: Simplify right side
    449.82x = 95,655.74
  5. Step 5: Solve for x
    x = 95,655.74/449.82
  6. Step 6: Final answer
    x = 212.65

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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.