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Finding the Fourth Proportional to 209.85, 289.53 and 126.89

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Solution

The fourth proportional to 209.85, 289.53 and 126.89 is: 175.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.85 : 289.53 = 126.89 : x
  2. Step 2: Convert to fraction form
    209.85/289.53 = 126.89/x
  3. Step 3: Cross multiply
    209.85x = 289.53 × 126.89
  4. Step 4: Simplify right side
    209.85x = 36,737.01
  5. Step 5: Solve for x
    x = 36,737.01/209.85
  6. Step 6: Final answer
    x = 175.06

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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.