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Finding the Fourth Proportional to 270.10, 404.55 and 218.62

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Solution

The fourth proportional to 270.10, 404.55 and 218.62 is: 327.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.10 : 404.55 = 218.62 : x
  2. Step 2: Convert to fraction form
    270.10/404.55 = 218.62/x
  3. Step 3: Cross multiply
    270.10x = 404.55 × 218.62
  4. Step 4: Simplify right side
    270.10x = 88,442.72
  5. Step 5: Solve for x
    x = 88,442.72/270.10
  6. Step 6: Final answer
    x = 327.44

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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.