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Finding the Fourth Proportional to 664.88, 996.96 and 202.52

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Solution

The fourth proportional to 664.88, 996.96 and 202.52 is: 303.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.88 : 996.96 = 202.52 : x
  2. Step 2: Convert to fraction form
    664.88/996.96 = 202.52/x
  3. Step 3: Cross multiply
    664.88x = 996.96 × 202.52
  4. Step 4: Simplify right side
    664.88x = 201,904.34
  5. Step 5: Solve for x
    x = 201,904.34/664.88
  6. Step 6: Final answer
    x = 303.67

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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.