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Finding the Fourth Proportional to 217.79, 326.80 and 102.23

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Solution

The fourth proportional to 217.79, 326.80 and 102.23 is: 153.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.79 : 326.80 = 102.23 : x
  2. Step 2: Convert to fraction form
    217.79/326.80 = 102.23/x
  3. Step 3: Cross multiply
    217.79x = 326.80 × 102.23
  4. Step 4: Simplify right side
    217.79x = 33,410.32
  5. Step 5: Solve for x
    x = 33,410.32/217.79
  6. Step 6: Final answer
    x = 153.40

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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.