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Finding the Fourth Proportional to 209.17, 288.73 and 126.28

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Solution

The fourth proportional to 209.17, 288.73 and 126.28 is: 174.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.17 : 288.73 = 126.28 : x
  2. Step 2: Convert to fraction form
    209.17/288.73 = 126.28/x
  3. Step 3: Cross multiply
    209.17x = 288.73 × 126.28
  4. Step 4: Simplify right side
    209.17x = 36,458.75
  5. Step 5: Solve for x
    x = 36,458.75/209.17
  6. Step 6: Final answer
    x = 174.31

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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.