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Finding the Fourth Proportional to 664.33, 996.24 and 202

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Solution

The fourth proportional to 664.33, 996.24 and 202 is: 302.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.33 : 996.24 = 202 : x
  2. Step 2: Convert to fraction form
    664.33/996.24 = 202/x
  3. Step 3: Cross multiply
    664.33x = 996.24 × 202
  4. Step 4: Simplify right side
    664.33x = 201,240.48
  5. Step 5: Solve for x
    x = 201,240.48/664.33
  6. Step 6: Final answer
    x = 302.92

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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.