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Finding the Fourth Proportional to 218.66, 328.09 and 81.75

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Solution

The fourth proportional to 218.66, 328.09 and 81.75 is: 122.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.66 : 328.09 = 81.75 : x
  2. Step 2: Convert to fraction form
    218.66/328.09 = 81.75/x
  3. Step 3: Cross multiply
    218.66x = 328.09 × 81.75
  4. Step 4: Simplify right side
    218.66x = 26,821.36
  5. Step 5: Solve for x
    x = 26,821.36/218.66
  6. Step 6: Final answer
    x = 122.67

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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.