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Finding the Fourth Proportional to 668.84, 1,003.17 and 181.85

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Solution

The fourth proportional to 668.84, 1,003.17 and 181.85 is: 272.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.84 : 1,003.17 = 181.85 : x
  2. Step 2: Convert to fraction form
    668.84/1,003.17 = 181.85/x
  3. Step 3: Cross multiply
    668.84x = 1,003.17 × 181.85
  4. Step 4: Simplify right side
    668.84x = 182,422.13
  5. Step 5: Solve for x
    x = 182,422.13/668.84
  6. Step 6: Final answer
    x = 272.75

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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.