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Finding the Fourth Proportional to 265.86, 365.18 and 262.26

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Solution

The fourth proportional to 265.86, 365.18 and 262.26 is: 360.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.86 : 365.18 = 262.26 : x
  2. Step 2: Convert to fraction form
    265.86/365.18 = 262.26/x
  3. Step 3: Cross multiply
    265.86x = 365.18 × 262.26
  4. Step 4: Simplify right side
    265.86x = 95,770.80
  5. Step 5: Solve for x
    x = 95,770.80/265.86
  6. Step 6: Final answer
    x = 360.23

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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.