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Finding the Fourth Proportional to 214.38, 319.95 and 212.96

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Solution

The fourth proportional to 214.38, 319.95 and 212.96 is: 317.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.38 : 319.95 = 212.96 : x
  2. Step 2: Convert to fraction form
    214.38/319.95 = 212.96/x
  3. Step 3: Cross multiply
    214.38x = 319.95 × 212.96
  4. Step 4: Simplify right side
    214.38x = 68,137.35
  5. Step 5: Solve for x
    x = 68,137.35/214.38
  6. Step 6: Final answer
    x = 317.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.