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Finding the Fourth Proportional to 665.12, 997.80 and 202.97

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Solution

The fourth proportional to 665.12, 997.80 and 202.97 is: 304.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.12 : 997.80 = 202.97 : x
  2. Step 2: Convert to fraction form
    665.12/997.80 = 202.97/x
  3. Step 3: Cross multiply
    665.12x = 997.80 × 202.97
  4. Step 4: Simplify right side
    665.12x = 202,518.48
  5. Step 5: Solve for x
    x = 202,518.48/665.12
  6. Step 6: Final answer
    x = 304.49

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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.