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Finding the Fourth Proportional to 262.21, 360.78 and 227.13

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Solution

The fourth proportional to 262.21, 360.78 and 227.13 is: 312.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.21 : 360.78 = 227.13 : x
  2. Step 2: Convert to fraction form
    262.21/360.78 = 227.13/x
  3. Step 3: Cross multiply
    262.21x = 360.78 × 227.13
  4. Step 4: Simplify right side
    262.21x = 81,943.96
  5. Step 5: Solve for x
    x = 81,943.96/262.21
  6. Step 6: Final answer
    x = 312.51

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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.