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Finding the Fourth Proportional to 456.67, 685.05 and 164.25

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Solution

The fourth proportional to 456.67, 685.05 and 164.25 is: 246.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.67 : 685.05 = 164.25 : x
  2. Step 2: Convert to fraction form
    456.67/685.05 = 164.25/x
  3. Step 3: Cross multiply
    456.67x = 685.05 × 164.25
  4. Step 4: Simplify right side
    456.67x = 112,519.46
  5. Step 5: Solve for x
    x = 112,519.46/456.67
  6. Step 6: Final answer
    x = 246.39

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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.