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Finding the Fourth Proportional to 665.13, 997.57 and 178.21

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Solution

The fourth proportional to 665.13, 997.57 and 178.21 is: 267.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.13 : 997.57 = 178.21 : x
  2. Step 2: Convert to fraction form
    665.13/997.57 = 178.21/x
  3. Step 3: Cross multiply
    665.13x = 997.57 × 178.21
  4. Step 4: Simplify right side
    665.13x = 177,776.95
  5. Step 5: Solve for x
    x = 177,776.95/665.13
  6. Step 6: Final answer
    x = 267.28

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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.