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Finding the Fourth Proportional to 664.30, 996.41 and 177.35

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Solution

The fourth proportional to 664.30, 996.41 and 177.35 is: 266.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.30 : 996.41 = 177.35 : x
  2. Step 2: Convert to fraction form
    664.30/996.41 = 177.35/x
  3. Step 3: Cross multiply
    664.30x = 996.41 × 177.35
  4. Step 4: Simplify right side
    664.30x = 176,713.31
  5. Step 5: Solve for x
    x = 176,713.31/664.30
  6. Step 6: Final answer
    x = 266.01

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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.