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Finding the Fourth Proportional to 168.08, 232.67 and 153.50

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Solution

The fourth proportional to 168.08, 232.67 and 153.50 is: 212.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.08 : 232.67 = 153.50 : x
  2. Step 2: Convert to fraction form
    168.08/232.67 = 153.50/x
  3. Step 3: Cross multiply
    168.08x = 232.67 × 153.50
  4. Step 4: Simplify right side
    168.08x = 35,714.07
  5. Step 5: Solve for x
    x = 35,714.07/168.08
  6. Step 6: Final answer
    x = 212.49

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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.