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Finding the Fourth Proportional to 217.89, 326.84 and 102.30

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Solution

The fourth proportional to 217.89, 326.84 and 102.30 is: 153.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.89 : 326.84 = 102.30 : x
  2. Step 2: Convert to fraction form
    217.89/326.84 = 102.30/x
  3. Step 3: Cross multiply
    217.89x = 326.84 × 102.30
  4. Step 4: Simplify right side
    217.89x = 33,435.22
  5. Step 5: Solve for x
    x = 33,435.22/217.89
  6. Step 6: Final answer
    x = 153.45

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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.