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Finding the Fourth Proportional to 244.02, 365.91 and 107.22

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Solution

The fourth proportional to 244.02, 365.91 and 107.22 is: 160.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.02 : 365.91 = 107.22 : x
  2. Step 2: Convert to fraction form
    244.02/365.91 = 107.22/x
  3. Step 3: Cross multiply
    244.02x = 365.91 × 107.22
  4. Step 4: Simplify right side
    244.02x = 39,232.87
  5. Step 5: Solve for x
    x = 39,232.87/244.02
  6. Step 6: Final answer
    x = 160.78

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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.