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Finding the Fourth Proportional to 219.18, 328.53 and 109.37

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Solution

The fourth proportional to 219.18, 328.53 and 109.37 is: 163.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.18 : 328.53 = 109.37 : x
  2. Step 2: Convert to fraction form
    219.18/328.53 = 109.37/x
  3. Step 3: Cross multiply
    219.18x = 328.53 × 109.37
  4. Step 4: Simplify right side
    219.18x = 35,932.56
  5. Step 5: Solve for x
    x = 35,932.56/219.18
  6. Step 6: Final answer
    x = 163.94

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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.