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Finding the Fourth Proportional to 266.95, 400.13 and 129.80

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Solution

The fourth proportional to 266.95, 400.13 and 129.80 is: 194.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.95 : 400.13 = 129.80 : x
  2. Step 2: Convert to fraction form
    266.95/400.13 = 129.80/x
  3. Step 3: Cross multiply
    266.95x = 400.13 × 129.80
  4. Step 4: Simplify right side
    266.95x = 51,936.87
  5. Step 5: Solve for x
    x = 51,936.87/266.95
  6. Step 6: Final answer
    x = 194.56

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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.