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Finding the Fourth Proportional to 209.12, 313.92 and 143.96

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Solution

The fourth proportional to 209.12, 313.92 and 143.96 is: 216.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.12 : 313.92 = 143.96 : x
  2. Step 2: Convert to fraction form
    209.12/313.92 = 143.96/x
  3. Step 3: Cross multiply
    209.12x = 313.92 × 143.96
  4. Step 4: Simplify right side
    209.12x = 45,191.92
  5. Step 5: Solve for x
    x = 45,191.92/209.12
  6. Step 6: Final answer
    x = 216.11

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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.