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Finding the Fourth Proportional to 456.84, 685.23 and 168.25

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Solution

The fourth proportional to 456.84, 685.23 and 168.25 is: 252.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.84 : 685.23 = 168.25 : x
  2. Step 2: Convert to fraction form
    456.84/685.23 = 168.25/x
  3. Step 3: Cross multiply
    456.84x = 685.23 × 168.25
  4. Step 4: Simplify right side
    456.84x = 115,289.95
  5. Step 5: Solve for x
    x = 115,289.95/456.84
  6. Step 6: Final answer
    x = 252.37

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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.