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Finding the Fourth Proportional to 266.87, 400.14 and 180.20

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Solution

The fourth proportional to 266.87, 400.14 and 180.20 is: 270.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.87 : 400.14 = 180.20 : x
  2. Step 2: Convert to fraction form
    266.87/400.14 = 180.20/x
  3. Step 3: Cross multiply
    266.87x = 400.14 × 180.20
  4. Step 4: Simplify right side
    266.87x = 72,103.23
  5. Step 5: Solve for x
    x = 72,103.23/266.87
  6. Step 6: Final answer
    x = 270.19

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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.