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Finding the Fourth Proportional to 665.22, 997.68 and 178.27

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Solution

The fourth proportional to 665.22, 997.68 and 178.27 is: 267.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.22 : 997.68 = 178.27 : x
  2. Step 2: Convert to fraction form
    665.22/997.68 = 178.27/x
  3. Step 3: Cross multiply
    665.22x = 997.68 × 178.27
  4. Step 4: Simplify right side
    665.22x = 177,856.41
  5. Step 5: Solve for x
    x = 177,856.41/665.22
  6. Step 6: Final answer
    x = 267.36

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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.