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Finding the Fourth Proportional to 453.78, 680.66 and 165.24

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Solution

The fourth proportional to 453.78, 680.66 and 165.24 is: 247.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.78 : 680.66 = 165.24 : x
  2. Step 2: Convert to fraction form
    453.78/680.66 = 165.24/x
  3. Step 3: Cross multiply
    453.78x = 680.66 × 165.24
  4. Step 4: Simplify right side
    453.78x = 112,472.26
  5. Step 5: Solve for x
    x = 112,472.26/453.78
  6. Step 6: Final answer
    x = 247.86

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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.