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Finding the Fourth Proportional to 209.89, 313.09 and 204.42

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Solution

The fourth proportional to 209.89, 313.09 and 204.42 is: 304.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.89 : 313.09 = 204.42 : x
  2. Step 2: Convert to fraction form
    209.89/313.09 = 204.42/x
  3. Step 3: Cross multiply
    209.89x = 313.09 × 204.42
  4. Step 4: Simplify right side
    209.89x = 64,003.10
  5. Step 5: Solve for x
    x = 64,003.10/209.89
  6. Step 6: Final answer
    x = 304.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.