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Finding the Fourth Proportional to 214.41, 319.73 and 212.46

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Solution

The fourth proportional to 214.41, 319.73 and 212.46 is: 316.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.41 : 319.73 = 212.46 : x
  2. Step 2: Convert to fraction form
    214.41/319.73 = 212.46/x
  3. Step 3: Cross multiply
    214.41x = 319.73 × 212.46
  4. Step 4: Simplify right side
    214.41x = 67,929.17
  5. Step 5: Solve for x
    x = 67,929.17/214.41
  6. Step 6: Final answer
    x = 316.82

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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.