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Finding the Fourth Proportional to 270.90, 406.17 and 179.55

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Solution

The fourth proportional to 270.90, 406.17 and 179.55 is: 269.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.90 : 406.17 = 179.55 : x
  2. Step 2: Convert to fraction form
    270.90/406.17 = 179.55/x
  3. Step 3: Cross multiply
    270.90x = 406.17 × 179.55
  4. Step 4: Simplify right side
    270.90x = 72,927.82
  5. Step 5: Solve for x
    x = 72,927.82/270.90
  6. Step 6: Final answer
    x = 269.21

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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.