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Finding the Fourth Proportional to 209.14, 313.87 and 157.85

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Solution

The fourth proportional to 209.14, 313.87 and 157.85 is: 236.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.14 : 313.87 = 157.85 : x
  2. Step 2: Convert to fraction form
    209.14/313.87 = 157.85/x
  3. Step 3: Cross multiply
    209.14x = 313.87 × 157.85
  4. Step 4: Simplify right side
    209.14x = 49,542.81
  5. Step 5: Solve for x
    x = 49,542.81/209.14
  6. Step 6: Final answer
    x = 236.89

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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.