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Finding the Fourth Proportional to 217.76, 300.30 and 162.44

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Solution

The fourth proportional to 217.76, 300.30 and 162.44 is: 224.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.76 : 300.30 = 162.44 : x
  2. Step 2: Convert to fraction form
    217.76/300.30 = 162.44/x
  3. Step 3: Cross multiply
    217.76x = 300.30 × 162.44
  4. Step 4: Simplify right side
    217.76x = 48,780.73
  5. Step 5: Solve for x
    x = 48,780.73/217.76
  6. Step 6: Final answer
    x = 224.01

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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.