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Finding the Fourth Proportional to 214.80, 323.88 and 212.10

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Solution

The fourth proportional to 214.80, 323.88 and 212.10 is: 319.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.80 : 323.88 = 212.10 : x
  2. Step 2: Convert to fraction form
    214.80/323.88 = 212.10/x
  3. Step 3: Cross multiply
    214.80x = 323.88 × 212.10
  4. Step 4: Simplify right side
    214.80x = 68,694.95
  5. Step 5: Solve for x
    x = 68,694.95/214.80
  6. Step 6: Final answer
    x = 319.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.