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Finding the Fourth Proportional to 667.09, 1,000.69 and 180.14

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Solution

The fourth proportional to 667.09, 1,000.69 and 180.14 is: 270.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.09 : 1,000.69 = 180.14 : x
  2. Step 2: Convert to fraction form
    667.09/1,000.69 = 180.14/x
  3. Step 3: Cross multiply
    667.09x = 1,000.69 × 180.14
  4. Step 4: Simplify right side
    667.09x = 180,264.47
  5. Step 5: Solve for x
    x = 180,264.47/667.09
  6. Step 6: Final answer
    x = 270.23

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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.