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Finding the Fourth Proportional to 218.56, 325.76 and 213.96

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Solution

The fourth proportional to 218.56, 325.76 and 213.96 is: 318.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.56 : 325.76 = 213.96 : x
  2. Step 2: Convert to fraction form
    218.56/325.76 = 213.96/x
  3. Step 3: Cross multiply
    218.56x = 325.76 × 213.96
  4. Step 4: Simplify right side
    218.56x = 69,699.61
  5. Step 5: Solve for x
    x = 69,699.61/218.56
  6. Step 6: Final answer
    x = 318.90

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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.