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Finding the Fourth Proportional to 448.85, 673.25 and 119.78

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Solution

The fourth proportional to 448.85, 673.25 and 119.78 is: 179.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.85 : 673.25 = 119.78 : x
  2. Step 2: Convert to fraction form
    448.85/673.25 = 119.78/x
  3. Step 3: Cross multiply
    448.85x = 673.25 × 119.78
  4. Step 4: Simplify right side
    448.85x = 80,637.92
  5. Step 5: Solve for x
    x = 80,637.92/448.85
  6. Step 6: Final answer
    x = 179.66

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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.