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Finding the Fourth Proportional to 172.96, 259.56 and 149.44

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Solution

The fourth proportional to 172.96, 259.56 and 149.44 is: 224.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.96 : 259.56 = 149.44 : x
  2. Step 2: Convert to fraction form
    172.96/259.56 = 149.44/x
  3. Step 3: Cross multiply
    172.96x = 259.56 × 149.44
  4. Step 4: Simplify right side
    172.96x = 38,788.65
  5. Step 5: Solve for x
    x = 38,788.65/172.96
  6. Step 6: Final answer
    x = 224.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.