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Finding the Fourth Proportional to 168.47, 232.95 and 165.73

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Solution

The fourth proportional to 168.47, 232.95 and 165.73 is: 229.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.47 : 232.95 = 165.73 : x
  2. Step 2: Convert to fraction form
    168.47/232.95 = 165.73/x
  3. Step 3: Cross multiply
    168.47x = 232.95 × 165.73
  4. Step 4: Simplify right side
    168.47x = 38,606.84
  5. Step 5: Solve for x
    x = 38,606.84/168.47
  6. Step 6: Final answer
    x = 229.16

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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.