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Finding the Fourth Proportional to 667.39, 1,001.19 and 180.46

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Solution

The fourth proportional to 667.39, 1,001.19 and 180.46 is: 270.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.39 : 1,001.19 = 180.46 : x
  2. Step 2: Convert to fraction form
    667.39/1,001.19 = 180.46/x
  3. Step 3: Cross multiply
    667.39x = 1,001.19 × 180.46
  4. Step 4: Simplify right side
    667.39x = 180,674.75
  5. Step 5: Solve for x
    x = 180,674.75/667.39
  6. Step 6: Final answer
    x = 270.72

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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.