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Finding the Fourth Proportional to 209.34, 312.16 and 194.73

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Solution

The fourth proportional to 209.34, 312.16 and 194.73 is: 290.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.34 : 312.16 = 194.73 : x
  2. Step 2: Convert to fraction form
    209.34/312.16 = 194.73/x
  3. Step 3: Cross multiply
    209.34x = 312.16 × 194.73
  4. Step 4: Simplify right side
    209.34x = 60,787.26
  5. Step 5: Solve for x
    x = 60,787.26/209.34
  6. Step 6: Final answer
    x = 290.38

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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.