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Finding the Fourth Proportional to 665.28, 997.90 and 178.31

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Solution

The fourth proportional to 665.28, 997.90 and 178.31 is: 267.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.28 : 997.90 = 178.31 : x
  2. Step 2: Convert to fraction form
    665.28/997.90 = 178.31/x
  3. Step 3: Cross multiply
    665.28x = 997.90 × 178.31
  4. Step 4: Simplify right side
    665.28x = 177,937.60
  5. Step 5: Solve for x
    x = 177,937.60/665.28
  6. Step 6: Final answer
    x = 267.46

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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.