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Finding the Fourth Proportional to 228.62, 315.68 and 205.27

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Solution

The fourth proportional to 228.62, 315.68 and 205.27 is: 283.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.62 : 315.68 = 205.27 : x
  2. Step 2: Convert to fraction form
    228.62/315.68 = 205.27/x
  3. Step 3: Cross multiply
    228.62x = 315.68 × 205.27
  4. Step 4: Simplify right side
    228.62x = 64,799.63
  5. Step 5: Solve for x
    x = 64,799.63/228.62
  6. Step 6: Final answer
    x = 283.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.