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Finding the Fourth Proportional to 168.49, 233.56 and 165.65

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Solution

The fourth proportional to 168.49, 233.56 and 165.65 is: 229.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.49 : 233.56 = 165.65 : x
  2. Step 2: Convert to fraction form
    168.49/233.56 = 165.65/x
  3. Step 3: Cross multiply
    168.49x = 233.56 × 165.65
  4. Step 4: Simplify right side
    168.49x = 38,689.21
  5. Step 5: Solve for x
    x = 38,689.21/168.49
  6. Step 6: Final answer
    x = 229.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.