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Finding the Fourth Proportional to 218.69, 328.04 and 81.69

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Solution

The fourth proportional to 218.69, 328.04 and 81.69 is: 122.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.69 : 328.04 = 81.69 : x
  2. Step 2: Convert to fraction form
    218.69/328.04 = 81.69/x
  3. Step 3: Cross multiply
    218.69x = 328.04 × 81.69
  4. Step 4: Simplify right side
    218.69x = 26,797.18
  5. Step 5: Solve for x
    x = 26,797.18/218.69
  6. Step 6: Final answer
    x = 122.54

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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.