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Finding the Fourth Proportional to 667.25, 1,000.86 and 180.35

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Solution

The fourth proportional to 667.25, 1,000.86 and 180.35 is: 270.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.25 : 1,000.86 = 180.35 : x
  2. Step 2: Convert to fraction form
    667.25/1,000.86 = 180.35/x
  3. Step 3: Cross multiply
    667.25x = 1,000.86 × 180.35
  4. Step 4: Simplify right side
    667.25x = 180,505.10
  5. Step 5: Solve for x
    x = 180,505.10/667.25
  6. Step 6: Final answer
    x = 270.52

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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.