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Finding the Fourth Proportional to 244.21, 365.91 and 107.05

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Solution

The fourth proportional to 244.21, 365.91 and 107.05 is: 160.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.21 : 365.91 = 107.05 : x
  2. Step 2: Convert to fraction form
    244.21/365.91 = 107.05/x
  3. Step 3: Cross multiply
    244.21x = 365.91 × 107.05
  4. Step 4: Simplify right side
    244.21x = 39,170.67
  5. Step 5: Solve for x
    x = 39,170.67/244.21
  6. Step 6: Final answer
    x = 160.40

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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.