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Finding the Fourth Proportional to 209.60, 288.56 and 194.88

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Solution

The fourth proportional to 209.60, 288.56 and 194.88 is: 268.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.60 : 288.56 = 194.88 : x
  2. Step 2: Convert to fraction form
    209.60/288.56 = 194.88/x
  3. Step 3: Cross multiply
    209.60x = 288.56 × 194.88
  4. Step 4: Simplify right side
    209.60x = 56,234.57
  5. Step 5: Solve for x
    x = 56,234.57/209.60
  6. Step 6: Final answer
    x = 268.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.