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Finding the Fourth Proportional to 262.67, 363.27 and 229.87

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Solution

The fourth proportional to 262.67, 363.27 and 229.87 is: 317.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.67 : 363.27 = 229.87 : x
  2. Step 2: Convert to fraction form
    262.67/363.27 = 229.87/x
  3. Step 3: Cross multiply
    262.67x = 363.27 × 229.87
  4. Step 4: Simplify right side
    262.67x = 83,504.87
  5. Step 5: Solve for x
    x = 83,504.87/262.67
  6. Step 6: Final answer
    x = 317.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.