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Finding the Fourth Proportional to 232.29, 318.71 and 226.17

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Solution

The fourth proportional to 232.29, 318.71 and 226.17 is: 310.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.29 : 318.71 = 226.17 : x
  2. Step 2: Convert to fraction form
    232.29/318.71 = 226.17/x
  3. Step 3: Cross multiply
    232.29x = 318.71 × 226.17
  4. Step 4: Simplify right side
    232.29x = 72,083.21
  5. Step 5: Solve for x
    x = 72,083.21/232.29
  6. Step 6: Final answer
    x = 310.32

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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.