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Finding the Fourth Proportional to 244.09, 365.88 and 107.11

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Solution

The fourth proportional to 244.09, 365.88 and 107.11 is: 160.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.09 : 365.88 = 107.11 : x
  2. Step 2: Convert to fraction form
    244.09/365.88 = 107.11/x
  3. Step 3: Cross multiply
    244.09x = 365.88 × 107.11
  4. Step 4: Simplify right side
    244.09x = 39,189.41
  5. Step 5: Solve for x
    x = 39,189.41/244.09
  6. Step 6: Final answer
    x = 160.55

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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.