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Finding the Fourth Proportional to 669.50, 1,004.23 and 182.60

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Solution

The fourth proportional to 669.50, 1,004.23 and 182.60 is: 273.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.50 : 1,004.23 = 182.60 : x
  2. Step 2: Convert to fraction form
    669.50/1,004.23 = 182.60/x
  3. Step 3: Cross multiply
    669.50x = 1,004.23 × 182.60
  4. Step 4: Simplify right side
    669.50x = 183,372.40
  5. Step 5: Solve for x
    x = 183,372.40/669.50
  6. Step 6: Final answer
    x = 273.89

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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.