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Finding the Fourth Proportional to 217.71, 300.46 and 165.42

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Solution

The fourth proportional to 217.71, 300.46 and 165.42 is: 228.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.71 : 300.46 = 165.42 : x
  2. Step 2: Convert to fraction form
    217.71/300.46 = 165.42/x
  3. Step 3: Cross multiply
    217.71x = 300.46 × 165.42
  4. Step 4: Simplify right side
    217.71x = 49,701.14
  5. Step 5: Solve for x
    x = 49,701.14/217.71
  6. Step 6: Final answer
    x = 228.29

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Why These Related Problems?

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