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Finding the Fourth Proportional to 270.89, 406.71 and 167.84

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Solution

The fourth proportional to 270.89, 406.71 and 167.84 is: 251.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.89 : 406.71 = 167.84 : x
  2. Step 2: Convert to fraction form
    270.89/406.71 = 167.84/x
  3. Step 3: Cross multiply
    270.89x = 406.71 × 167.84
  4. Step 4: Simplify right side
    270.89x = 68,260.17
  5. Step 5: Solve for x
    x = 68,260.17/270.89
  6. Step 6: Final answer
    x = 251.99

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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.