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Finding the Fourth Proportional to 668.87, 1,003.30 and 181.92

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Solution

The fourth proportional to 668.87, 1,003.30 and 181.92 is: 272.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.87 : 1,003.30 = 181.92 : x
  2. Step 2: Convert to fraction form
    668.87/1,003.30 = 181.92/x
  3. Step 3: Cross multiply
    668.87x = 1,003.30 × 181.92
  4. Step 4: Simplify right side
    668.87x = 182,520.34
  5. Step 5: Solve for x
    x = 182,520.34/668.87
  6. Step 6: Final answer
    x = 272.88

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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.