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Finding the Fourth Proportional to 219.96, 301.88 and 201.42

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Solution

The fourth proportional to 219.96, 301.88 and 201.42 is: 276.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.96 : 301.88 = 201.42 : x
  2. Step 2: Convert to fraction form
    219.96/301.88 = 201.42/x
  3. Step 3: Cross multiply
    219.96x = 301.88 × 201.42
  4. Step 4: Simplify right side
    219.96x = 60,804.67
  5. Step 5: Solve for x
    x = 60,804.67/219.96
  6. Step 6: Final answer
    x = 276.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.