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Finding the Fourth Proportional to 232.66, 349.46 and 227.20

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Solution

The fourth proportional to 232.66, 349.46 and 227.20 is: 341.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.66 : 349.46 = 227.20 : x
  2. Step 2: Convert to fraction form
    232.66/349.46 = 227.20/x
  3. Step 3: Cross multiply
    232.66x = 349.46 × 227.20
  4. Step 4: Simplify right side
    232.66x = 79,397.31
  5. Step 5: Solve for x
    x = 79,397.31/232.66
  6. Step 6: Final answer
    x = 341.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.