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Finding the Fourth Proportional to 448.97, 673.50 and 119.96

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Solution

The fourth proportional to 448.97, 673.50 and 119.96 is: 179.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.97 : 673.50 = 119.96 : x
  2. Step 2: Convert to fraction form
    448.97/673.50 = 119.96/x
  3. Step 3: Cross multiply
    448.97x = 673.50 × 119.96
  4. Step 4: Simplify right side
    448.97x = 80,793.89
  5. Step 5: Solve for x
    x = 80,793.89/448.97
  6. Step 6: Final answer
    x = 179.95

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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.