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Finding the Fourth Proportional to 669.14, 1,003.74 and 182.18

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Solution

The fourth proportional to 669.14, 1,003.74 and 182.18 is: 273.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.14 : 1,003.74 = 182.18 : x
  2. Step 2: Convert to fraction form
    669.14/1,003.74 = 182.18/x
  3. Step 3: Cross multiply
    669.14x = 1,003.74 × 182.18
  4. Step 4: Simplify right side
    669.14x = 182,861.35
  5. Step 5: Solve for x
    x = 182,861.35/669.14
  6. Step 6: Final answer
    x = 273.28

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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.