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Finding the Fourth Proportional to 266.36, 365.14 and 262.11

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Solution

The fourth proportional to 266.36, 365.14 and 262.11 is: 359.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.36 : 365.14 = 262.11 : x
  2. Step 2: Convert to fraction form
    266.36/365.14 = 262.11/x
  3. Step 3: Cross multiply
    266.36x = 365.14 × 262.11
  4. Step 4: Simplify right side
    266.36x = 95,706.85
  5. Step 5: Solve for x
    x = 95,706.85/266.36
  6. Step 6: Final answer
    x = 359.31

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Why These Related Problems?

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