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Finding the Fourth Proportional to 269.90, 405.16 and 107.70

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Solution

The fourth proportional to 269.90, 405.16 and 107.70 is: 161.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.90 : 405.16 = 107.70 : x
  2. Step 2: Convert to fraction form
    269.90/405.16 = 107.70/x
  3. Step 3: Cross multiply
    269.90x = 405.16 × 107.70
  4. Step 4: Simplify right side
    269.90x = 43,635.73
  5. Step 5: Solve for x
    x = 43,635.73/269.90
  6. Step 6: Final answer
    x = 161.67

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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.