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Finding the Fourth Proportional to 168.15, 253.74 and 162.12

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Solution

The fourth proportional to 168.15, 253.74 and 162.12 is: 244.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.15 : 253.74 = 162.12 : x
  2. Step 2: Convert to fraction form
    168.15/253.74 = 162.12/x
  3. Step 3: Cross multiply
    168.15x = 253.74 × 162.12
  4. Step 4: Simplify right side
    168.15x = 41,136.33
  5. Step 5: Solve for x
    x = 41,136.33/168.15
  6. Step 6: Final answer
    x = 244.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.