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Finding the Fourth Proportional to 218.74, 328.17 and 110.54

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Solution

The fourth proportional to 218.74, 328.17 and 110.54 is: 165.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.74 : 328.17 = 110.54 : x
  2. Step 2: Convert to fraction form
    218.74/328.17 = 110.54/x
  3. Step 3: Cross multiply
    218.74x = 328.17 × 110.54
  4. Step 4: Simplify right side
    218.74x = 36,274.27
  5. Step 5: Solve for x
    x = 36,274.27/218.74
  6. Step 6: Final answer
    x = 165.84

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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.