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Finding the Fourth Proportional to 664.46, 996.70 and 177.58

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Solution

The fourth proportional to 664.46, 996.70 and 177.58 is: 266.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.46 : 996.70 = 177.58 : x
  2. Step 2: Convert to fraction form
    664.46/996.70 = 177.58/x
  3. Step 3: Cross multiply
    664.46x = 996.70 × 177.58
  4. Step 4: Simplify right side
    664.46x = 176,988.11
  5. Step 5: Solve for x
    x = 176,988.11/664.46
  6. Step 6: Final answer
    x = 266.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.