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Finding the Fourth Proportional to 667.40, 1,001.00 and 180.48

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Solution

The fourth proportional to 667.40, 1,001.00 and 180.48 is: 270.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.40 : 1,001.00 = 180.48 : x
  2. Step 2: Convert to fraction form
    667.40/1,001.00 = 180.48/x
  3. Step 3: Cross multiply
    667.40x = 1,001.00 × 180.48
  4. Step 4: Simplify right side
    667.40x = 180,660.93
  5. Step 5: Solve for x
    x = 180,660.93/667.40
  6. Step 6: Final answer
    x = 270.70

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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.