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Finding the Fourth Proportional to 665.54, 998.27 and 178.66

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Solution

The fourth proportional to 665.54, 998.27 and 178.66 is: 267.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.54 : 998.27 = 178.66 : x
  2. Step 2: Convert to fraction form
    665.54/998.27 = 178.66/x
  3. Step 3: Cross multiply
    665.54x = 998.27 × 178.66
  4. Step 4: Simplify right side
    665.54x = 178,350.92
  5. Step 5: Solve for x
    x = 178,350.92/665.54
  6. Step 6: Final answer
    x = 267.98

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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.