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Finding the Fourth Proportional to 242.39, 361.68 and 227.70

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Solution

The fourth proportional to 242.39, 361.68 and 227.70 is: 339.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.39 : 361.68 = 227.70 : x
  2. Step 2: Convert to fraction form
    242.39/361.68 = 227.70/x
  3. Step 3: Cross multiply
    242.39x = 361.68 × 227.70
  4. Step 4: Simplify right side
    242.39x = 82,354.54
  5. Step 5: Solve for x
    x = 82,354.54/242.39
  6. Step 6: Final answer
    x = 339.76

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