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Finding the Fourth Proportional to 209.05, 313.57 and 113.47

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Solution

The fourth proportional to 209.05, 313.57 and 113.47 is: 170.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.05 : 313.57 = 113.47 : x
  2. Step 2: Convert to fraction form
    209.05/313.57 = 113.47/x
  3. Step 3: Cross multiply
    209.05x = 313.57 × 113.47
  4. Step 4: Simplify right side
    209.05x = 35,580.15
  5. Step 5: Solve for x
    x = 35,580.15/209.05
  6. Step 6: Final answer
    x = 170.20

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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.