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Finding the Fourth Proportional to 209.44, 289.29 and 160.91

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Solution

The fourth proportional to 209.44, 289.29 and 160.91 is: 222.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.44 : 289.29 = 160.91 : x
  2. Step 2: Convert to fraction form
    209.44/289.29 = 160.91/x
  3. Step 3: Cross multiply
    209.44x = 289.29 × 160.91
  4. Step 4: Simplify right side
    209.44x = 46,549.65
  5. Step 5: Solve for x
    x = 46,549.65/209.44
  6. Step 6: Final answer
    x = 222.26

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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.