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Finding the Fourth Proportional to 209.35, 313.84 and 79.26

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Solution

The fourth proportional to 209.35, 313.84 and 79.26 is: 118.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.35 : 313.84 = 79.26 : x
  2. Step 2: Convert to fraction form
    209.35/313.84 = 79.26/x
  3. Step 3: Cross multiply
    209.35x = 313.84 × 79.26
  4. Step 4: Simplify right side
    209.35x = 24,874.96
  5. Step 5: Solve for x
    x = 24,874.96/209.35
  6. Step 6: Final answer
    x = 118.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.