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Finding the Fourth Proportional to 209.65, 289.37 and 143.23

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Solution

The fourth proportional to 209.65, 289.37 and 143.23 is: 197.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.65 : 289.37 = 143.23 : x
  2. Step 2: Convert to fraction form
    209.65/289.37 = 143.23/x
  3. Step 3: Cross multiply
    209.65x = 289.37 × 143.23
  4. Step 4: Simplify right side
    209.65x = 41,445.75
  5. Step 5: Solve for x
    x = 41,445.75/209.65
  6. Step 6: Final answer
    x = 197.69

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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.