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Finding the Fourth Proportional to 669.21, 1,003.82 and 182.34

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Solution

The fourth proportional to 669.21, 1,003.82 and 182.34 is: 273.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.21 : 1,003.82 = 182.34 : x
  2. Step 2: Convert to fraction form
    669.21/1,003.82 = 182.34/x
  3. Step 3: Cross multiply
    669.21x = 1,003.82 × 182.34
  4. Step 4: Simplify right side
    669.21x = 183,035.63
  5. Step 5: Solve for x
    x = 183,035.63/669.21
  6. Step 6: Final answer
    x = 273.51

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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.