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Finding the Fourth Proportional to 242.79, 361.74 and 228.81

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Solution

The fourth proportional to 242.79, 361.74 and 228.81 is: 340.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.79 : 361.74 = 228.81 : x
  2. Step 2: Convert to fraction form
    242.79/361.74 = 228.81/x
  3. Step 3: Cross multiply
    242.79x = 361.74 × 228.81
  4. Step 4: Simplify right side
    242.79x = 82,769.73
  5. Step 5: Solve for x
    x = 82,769.73/242.79
  6. Step 6: Final answer
    x = 340.91

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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.