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Finding the Fourth Proportional to 266.11, 365.03 and 263.80

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Solution

The fourth proportional to 266.11, 365.03 and 263.80 is: 361.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.11 : 365.03 = 263.80 : x
  2. Step 2: Convert to fraction form
    266.11/365.03 = 263.80/x
  3. Step 3: Cross multiply
    266.11x = 365.03 × 263.80
  4. Step 4: Simplify right side
    266.11x = 96,294.25
  5. Step 5: Solve for x
    x = 96,294.25/266.11
  6. Step 6: Final answer
    x = 361.86

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.