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Finding the Fourth Proportional to 209.03, 288.46 and 126.12

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Solution

The fourth proportional to 209.03, 288.46 and 126.12 is: 174.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.03 : 288.46 = 126.12 : x
  2. Step 2: Convert to fraction form
    209.03/288.46 = 126.12/x
  3. Step 3: Cross multiply
    209.03x = 288.46 × 126.12
  4. Step 4: Simplify right side
    209.03x = 36,379.18
  5. Step 5: Solve for x
    x = 36,379.18/209.03
  6. Step 6: Final answer
    x = 174.04

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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.