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Finding the Fourth Proportional to 240.66, 361.71 and 227.70

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Solution

The fourth proportional to 240.66, 361.71 and 227.70 is: 342.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.66 : 361.71 = 227.70 : x
  2. Step 2: Convert to fraction form
    240.66/361.71 = 227.70/x
  3. Step 3: Cross multiply
    240.66x = 361.71 × 227.70
  4. Step 4: Simplify right side
    240.66x = 82,361.37
  5. Step 5: Solve for x
    x = 82,361.37/240.66
  6. Step 6: Final answer
    x = 342.23

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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.