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Finding the Fourth Proportional to 219.38, 301.87 and 212.70

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Solution

The fourth proportional to 219.38, 301.87 and 212.70 is: 292.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.38 : 301.87 = 212.70 : x
  2. Step 2: Convert to fraction form
    219.38/301.87 = 212.70/x
  3. Step 3: Cross multiply
    219.38x = 301.87 × 212.70
  4. Step 4: Simplify right side
    219.38x = 64,207.75
  5. Step 5: Solve for x
    x = 64,207.75/219.38
  6. Step 6: Final answer
    x = 292.68

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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.