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Finding the Fourth Proportional to 209.05, 288.39 and 126.10

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Solution

The fourth proportional to 209.05, 288.39 and 126.10 is: 173.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.05 : 288.39 = 126.10 : x
  2. Step 2: Convert to fraction form
    209.05/288.39 = 126.10/x
  3. Step 3: Cross multiply
    209.05x = 288.39 × 126.10
  4. Step 4: Simplify right side
    209.05x = 36,365.98
  5. Step 5: Solve for x
    x = 36,365.98/209.05
  6. Step 6: Final answer
    x = 173.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.