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Finding the Fourth Proportional to 214.06, 318.49 and 213.34

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Solution

The fourth proportional to 214.06, 318.49 and 213.34 is: 317.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.06 : 318.49 = 213.34 : x
  2. Step 2: Convert to fraction form
    214.06/318.49 = 213.34/x
  3. Step 3: Cross multiply
    214.06x = 318.49 × 213.34
  4. Step 4: Simplify right side
    214.06x = 67,945.59
  5. Step 5: Solve for x
    x = 67,945.59/214.06
  6. Step 6: Final answer
    x = 317.41

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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.