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Finding the Fourth Proportional to 453.20, 679.89 and 164.63

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Solution

The fourth proportional to 453.20, 679.89 and 164.63 is: 246.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.20 : 679.89 = 164.63 : x
  2. Step 2: Convert to fraction form
    453.20/679.89 = 164.63/x
  3. Step 3: Cross multiply
    453.20x = 679.89 × 164.63
  4. Step 4: Simplify right side
    453.20x = 111,926.89
  5. Step 5: Solve for x
    x = 111,926.89/453.20
  6. Step 6: Final answer
    x = 246.97

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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.