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Finding the Fourth Proportional to 283.62, 391.30 and 165.57

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Solution

The fourth proportional to 283.62, 391.30 and 165.57 is: 228.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.62 : 391.30 = 165.57 : x
  2. Step 2: Convert to fraction form
    283.62/391.30 = 165.57/x
  3. Step 3: Cross multiply
    283.62x = 391.30 × 165.57
  4. Step 4: Simplify right side
    283.62x = 64,787.54
  5. Step 5: Solve for x
    x = 64,787.54/283.62
  6. Step 6: Final answer
    x = 228.43

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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.