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Finding the Fourth Proportional to 453.78, 680.25 and 165

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Solution

The fourth proportional to 453.78, 680.25 and 165 is: 247.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.78 : 680.25 = 165 : x
  2. Step 2: Convert to fraction form
    453.78/680.25 = 165/x
  3. Step 3: Cross multiply
    453.78x = 680.25 × 165
  4. Step 4: Simplify right side
    453.78x = 112,241.25
  5. Step 5: Solve for x
    x = 112,241.25/453.78
  6. Step 6: Final answer
    x = 247.35

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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.