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Finding the Fourth Proportional to 209.09, 288.48 and 126.17

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Solution

The fourth proportional to 209.09, 288.48 and 126.17 is: 174.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.09 : 288.48 = 126.17 : x
  2. Step 2: Convert to fraction form
    209.09/288.48 = 126.17/x
  3. Step 3: Cross multiply
    209.09x = 288.48 × 126.17
  4. Step 4: Simplify right side
    209.09x = 36,396.08
  5. Step 5: Solve for x
    x = 36,396.08/209.09
  6. Step 6: Final answer
    x = 174.07

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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.