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Finding the Fourth Proportional to 209.85, 289.61 and 151.66

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Solution

The fourth proportional to 209.85, 289.61 and 151.66 is: 209.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.85 : 289.61 = 151.66 : x
  2. Step 2: Convert to fraction form
    209.85/289.61 = 151.66/x
  3. Step 3: Cross multiply
    209.85x = 289.61 × 151.66
  4. Step 4: Simplify right side
    209.85x = 43,922.25
  5. Step 5: Solve for x
    x = 43,922.25/209.85
  6. Step 6: Final answer
    x = 209.31

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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.