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Finding the Fourth Proportional to 665.19, 997.92 and 202.96

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Solution

The fourth proportional to 665.19, 997.92 and 202.96 is: 304.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.19 : 997.92 = 202.96 : x
  2. Step 2: Convert to fraction form
    665.19/997.92 = 202.96/x
  3. Step 3: Cross multiply
    665.19x = 997.92 × 202.96
  4. Step 4: Simplify right side
    665.19x = 202,533.48
  5. Step 5: Solve for x
    x = 202,533.48/665.19
  6. Step 6: Final answer
    x = 304.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.