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Finding the Fourth Proportional to 665.60, 998.44 and 178.64

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Solution

The fourth proportional to 665.60, 998.44 and 178.64 is: 267.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.60 : 998.44 = 178.64 : x
  2. Step 2: Convert to fraction form
    665.60/998.44 = 178.64/x
  3. Step 3: Cross multiply
    665.60x = 998.44 × 178.64
  4. Step 4: Simplify right side
    665.60x = 178,361.32
  5. Step 5: Solve for x
    x = 178,361.32/665.60
  6. Step 6: Final answer
    x = 267.97

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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.