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Finding the Fourth Proportional to 209.33, 313.85 and 111.77

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Solution

The fourth proportional to 209.33, 313.85 and 111.77 is: 167.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.33 : 313.85 = 111.77 : x
  2. Step 2: Convert to fraction form
    209.33/313.85 = 111.77/x
  3. Step 3: Cross multiply
    209.33x = 313.85 × 111.77
  4. Step 4: Simplify right side
    209.33x = 35,077.45
  5. Step 5: Solve for x
    x = 35,077.45/209.33
  6. Step 6: Final answer
    x = 167.57

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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.