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Finding the Fourth Proportional to 209.26, 313.68 and 111.64

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Solution

The fourth proportional to 209.26, 313.68 and 111.64 is: 167.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.26 : 313.68 = 111.64 : x
  2. Step 2: Convert to fraction form
    209.26/313.68 = 111.64/x
  3. Step 3: Cross multiply
    209.26x = 313.68 × 111.64
  4. Step 4: Simplify right side
    209.26x = 35,019.24
  5. Step 5: Solve for x
    x = 35,019.24/209.26
  6. Step 6: Final answer
    x = 167.35

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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.