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Finding the Fourth Proportional to 217.08, 325.34 and 214.80

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Solution

The fourth proportional to 217.08, 325.34 and 214.80 is: 321.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.08 : 325.34 = 214.80 : x
  2. Step 2: Convert to fraction form
    217.08/325.34 = 214.80/x
  3. Step 3: Cross multiply
    217.08x = 325.34 × 214.80
  4. Step 4: Simplify right side
    217.08x = 69,883.03
  5. Step 5: Solve for x
    x = 69,883.03/217.08
  6. Step 6: Final answer
    x = 321.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.