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Finding the Fourth Proportional to 453.61, 680.66 and 179.71

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Solution

The fourth proportional to 453.61, 680.66 and 179.71 is: 269.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.61 : 680.66 = 179.71 : x
  2. Step 2: Convert to fraction form
    453.61/680.66 = 179.71/x
  3. Step 3: Cross multiply
    453.61x = 680.66 × 179.71
  4. Step 4: Simplify right side
    453.61x = 122,321.41
  5. Step 5: Solve for x
    x = 122,321.41/453.61
  6. Step 6: Final answer
    x = 269.66

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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.