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Finding the Fourth Proportional to 218.96, 325.84 and 217.52

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Solution

The fourth proportional to 218.96, 325.84 and 217.52 is: 323.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.96 : 325.84 = 217.52 : x
  2. Step 2: Convert to fraction form
    218.96/325.84 = 217.52/x
  3. Step 3: Cross multiply
    218.96x = 325.84 × 217.52
  4. Step 4: Simplify right side
    218.96x = 70,876.72
  5. Step 5: Solve for x
    x = 70,876.72/218.96
  6. Step 6: Final answer
    x = 323.70

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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.