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Finding the Fourth Proportional to 209.43, 313.70 and 203.67

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Solution

The fourth proportional to 209.43, 313.70 and 203.67 is: 305.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.43 : 313.70 = 203.67 : x
  2. Step 2: Convert to fraction form
    209.43/313.70 = 203.67/x
  3. Step 3: Cross multiply
    209.43x = 313.70 × 203.67
  4. Step 4: Simplify right side
    209.43x = 63,890.26
  5. Step 5: Solve for x
    x = 63,890.26/209.43
  6. Step 6: Final answer
    x = 305.07

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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.