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Finding the Fourth Proportional to 217.48, 326.58 and 206.52

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Solution

The fourth proportional to 217.48, 326.58 and 206.52 is: 310.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.48 : 326.58 = 206.52 : x
  2. Step 2: Convert to fraction form
    217.48/326.58 = 206.52/x
  3. Step 3: Cross multiply
    217.48x = 326.58 × 206.52
  4. Step 4: Simplify right side
    217.48x = 67,445.30
  5. Step 5: Solve for x
    x = 67,445.30/217.48
  6. Step 6: Final answer
    x = 310.13

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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.