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Finding the Fourth Proportional to 242.70, 361.47 and 227.71

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Solution

The fourth proportional to 242.70, 361.47 and 227.71 is: 339.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.70 : 361.47 = 227.71 : x
  2. Step 2: Convert to fraction form
    242.70/361.47 = 227.71/x
  3. Step 3: Cross multiply
    242.70x = 361.47 × 227.71
  4. Step 4: Simplify right side
    242.70x = 82,310.33
  5. Step 5: Solve for x
    x = 82,310.33/242.70
  6. Step 6: Final answer
    x = 339.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.