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Finding the Fourth Proportional to 209.88, 314.84 and 107.37

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Solution

The fourth proportional to 209.88, 314.84 and 107.37 is: 161.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.88 : 314.84 = 107.37 : x
  2. Step 2: Convert to fraction form
    209.88/314.84 = 107.37/x
  3. Step 3: Cross multiply
    209.88x = 314.84 × 107.37
  4. Step 4: Simplify right side
    209.88x = 33,803.83
  5. Step 5: Solve for x
    x = 33,803.83/209.88
  6. Step 6: Final answer
    x = 161.06

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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.