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Finding the Fourth Proportional to 665.22, 997.84 and 203.02

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Solution

The fourth proportional to 665.22, 997.84 and 203.02 is: 304.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.22 : 997.84 = 203.02 : x
  2. Step 2: Convert to fraction form
    665.22/997.84 = 203.02/x
  3. Step 3: Cross multiply
    665.22x = 997.84 × 203.02
  4. Step 4: Simplify right side
    665.22x = 202,581.48
  5. Step 5: Solve for x
    x = 202,581.48/665.22
  6. Step 6: Final answer
    x = 304.53

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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.