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Finding the Fourth Proportional to 209.22, 313.86 and 117.96

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Solution

The fourth proportional to 209.22, 313.86 and 117.96 is: 176.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.22 : 313.86 = 117.96 : x
  2. Step 2: Convert to fraction form
    209.22/313.86 = 117.96/x
  3. Step 3: Cross multiply
    209.22x = 313.86 × 117.96
  4. Step 4: Simplify right side
    209.22x = 37,022.93
  5. Step 5: Solve for x
    x = 37,022.93/209.22
  6. Step 6: Final answer
    x = 176.96

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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.