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Finding the Fourth Proportional to 453.69, 680.64 and 165.13

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Solution

The fourth proportional to 453.69, 680.64 and 165.13 is: 247.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.69 : 680.64 = 165.13 : x
  2. Step 2: Convert to fraction form
    453.69/680.64 = 165.13/x
  3. Step 3: Cross multiply
    453.69x = 680.64 × 165.13
  4. Step 4: Simplify right side
    453.69x = 112,389.85
  5. Step 5: Solve for x
    x = 112,389.85/453.69
  6. Step 6: Final answer
    x = 247.72

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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.