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Finding the Fourth Proportional to 209.56, 288.94 and 126.64

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Solution

The fourth proportional to 209.56, 288.94 and 126.64 is: 174.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.56 : 288.94 = 126.64 : x
  2. Step 2: Convert to fraction form
    209.56/288.94 = 126.64/x
  3. Step 3: Cross multiply
    209.56x = 288.94 × 126.64
  4. Step 4: Simplify right side
    209.56x = 36,589.28
  5. Step 5: Solve for x
    x = 36,589.28/209.56
  6. Step 6: Final answer
    x = 174.60

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