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Finding the Fourth Proportional to 664.96, 997.52 and 178.02

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Solution

The fourth proportional to 664.96, 997.52 and 178.02 is: 267.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.96 : 997.52 = 178.02 : x
  2. Step 2: Convert to fraction form
    664.96/997.52 = 178.02/x
  3. Step 3: Cross multiply
    664.96x = 997.52 × 178.02
  4. Step 4: Simplify right side
    664.96x = 177,578.51
  5. Step 5: Solve for x
    x = 177,578.51/664.96
  6. Step 6: Final answer
    x = 267.05

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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.