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Finding the Fourth Proportional to 266.92, 365.95 and 262.06

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Solution

The fourth proportional to 266.92, 365.95 and 262.06 is: 359.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.92 : 365.95 = 262.06 : x
  2. Step 2: Convert to fraction form
    266.92/365.95 = 262.06/x
  3. Step 3: Cross multiply
    266.92x = 365.95 × 262.06
  4. Step 4: Simplify right side
    266.92x = 95,900.86
  5. Step 5: Solve for x
    x = 95,900.86/266.92
  6. Step 6: Final answer
    x = 359.29

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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.