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Finding the Fourth Proportional to 668.71, 1,003.02 and 181.73

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Solution

The fourth proportional to 668.71, 1,003.02 and 181.73 is: 272.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.71 : 1,003.02 = 181.73 : x
  2. Step 2: Convert to fraction form
    668.71/1,003.02 = 181.73/x
  3. Step 3: Cross multiply
    668.71x = 1,003.02 × 181.73
  4. Step 4: Simplify right side
    668.71x = 182,273.81
  5. Step 5: Solve for x
    x = 182,273.81/668.71
  6. Step 6: Final answer
    x = 272.58

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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.