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Finding the Fourth Proportional to 218.70, 328.17 and 110.43

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Solution

The fourth proportional to 218.70, 328.17 and 110.43 is: 165.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.70 : 328.17 = 110.43 : x
  2. Step 2: Convert to fraction form
    218.70/328.17 = 110.43/x
  3. Step 3: Cross multiply
    218.70x = 328.17 × 110.43
  4. Step 4: Simplify right side
    218.70x = 36,239.81
  5. Step 5: Solve for x
    x = 36,239.81/218.70
  6. Step 6: Final answer
    x = 165.71

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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.