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Finding the Fourth Proportional to 209.40, 290.34 and 198.46

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Solution

The fourth proportional to 209.40, 290.34 and 198.46 is: 275.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.40 : 290.34 = 198.46 : x
  2. Step 2: Convert to fraction form
    209.40/290.34 = 198.46/x
  3. Step 3: Cross multiply
    209.40x = 290.34 × 198.46
  4. Step 4: Simplify right side
    209.40x = 57,620.88
  5. Step 5: Solve for x
    x = 57,620.88/209.40
  6. Step 6: Final answer
    x = 275.17

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.