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Finding the Fourth Proportional to 299.35, 448.69 and 116.67

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Solution

The fourth proportional to 299.35, 448.69 and 116.67 is: 174.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.35 : 448.69 = 116.67 : x
  2. Step 2: Convert to fraction form
    299.35/448.69 = 116.67/x
  3. Step 3: Cross multiply
    299.35x = 448.69 × 116.67
  4. Step 4: Simplify right side
    299.35x = 52,348.66
  5. Step 5: Solve for x
    x = 52,348.66/299.35
  6. Step 6: Final answer
    x = 174.87

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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.