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Finding the Fourth Proportional to 667.29, 1,000.80 and 180.23

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Solution

The fourth proportional to 667.29, 1,000.80 and 180.23 is: 270.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.29 : 1,000.80 = 180.23 : x
  2. Step 2: Convert to fraction form
    667.29/1,000.80 = 180.23/x
  3. Step 3: Cross multiply
    667.29x = 1,000.80 × 180.23
  4. Step 4: Simplify right side
    667.29x = 180,369.18
  5. Step 5: Solve for x
    x = 180,369.18/667.29
  6. Step 6: Final answer
    x = 270.30

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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.