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Finding the Fourth Proportional to 456.92, 685.38 and 168.30

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Solution

The fourth proportional to 456.92, 685.38 and 168.30 is: 252.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.92 : 685.38 = 168.30 : x
  2. Step 2: Convert to fraction form
    456.92/685.38 = 168.30/x
  3. Step 3: Cross multiply
    456.92x = 685.38 × 168.30
  4. Step 4: Simplify right side
    456.92x = 115,349.45
  5. Step 5: Solve for x
    x = 115,349.45/456.92
  6. Step 6: Final answer
    x = 252.45

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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.