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Finding the Fourth Proportional to 665.38, 997.98 and 178.48

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Solution

The fourth proportional to 665.38, 997.98 and 178.48 is: 267.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.38 : 997.98 = 178.48 : x
  2. Step 2: Convert to fraction form
    665.38/997.98 = 178.48/x
  3. Step 3: Cross multiply
    665.38x = 997.98 × 178.48
  4. Step 4: Simplify right side
    665.38x = 178,119.47
  5. Step 5: Solve for x
    x = 178,119.47/665.38
  6. Step 6: Final answer
    x = 267.70

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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.