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Finding the Fourth Proportional to 217.60, 326.05 and 136.24

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Solution

The fourth proportional to 217.60, 326.05 and 136.24 is: 204.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.60 : 326.05 = 136.24 : x
  2. Step 2: Convert to fraction form
    217.60/326.05 = 136.24/x
  3. Step 3: Cross multiply
    217.60x = 326.05 × 136.24
  4. Step 4: Simplify right side
    217.60x = 44,421.05
  5. Step 5: Solve for x
    x = 44,421.05/217.60
  6. Step 6: Final answer
    x = 204.14

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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.