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Finding the Fourth Proportional to 665.25, 997.75 and 178.34

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Solution

The fourth proportional to 665.25, 997.75 and 178.34 is: 267.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.25 : 997.75 = 178.34 : x
  2. Step 2: Convert to fraction form
    665.25/997.75 = 178.34/x
  3. Step 3: Cross multiply
    665.25x = 997.75 × 178.34
  4. Step 4: Simplify right side
    665.25x = 177,933.97
  5. Step 5: Solve for x
    x = 177,933.97/665.25
  6. Step 6: Final answer
    x = 267.47

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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.