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Finding the Fourth Proportional to 242.58, 361.97 and 227.88

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Solution

The fourth proportional to 242.58, 361.97 and 227.88 is: 340.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.58 : 361.97 = 227.88 : x
  2. Step 2: Convert to fraction form
    242.58/361.97 = 227.88/x
  3. Step 3: Cross multiply
    242.58x = 361.97 × 227.88
  4. Step 4: Simplify right side
    242.58x = 82,484.58
  5. Step 5: Solve for x
    x = 82,484.58/242.58
  6. Step 6: Final answer
    x = 340.03

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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.