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Finding the Fourth Proportional to 272.58, 408.25 and 164.14

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Solution

The fourth proportional to 272.58, 408.25 and 164.14 is: 245.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.58 : 408.25 = 164.14 : x
  2. Step 2: Convert to fraction form
    272.58/408.25 = 164.14/x
  3. Step 3: Cross multiply
    272.58x = 408.25 × 164.14
  4. Step 4: Simplify right side
    272.58x = 67,010.16
  5. Step 5: Solve for x
    x = 67,010.16/272.58
  6. Step 6: Final answer
    x = 245.84

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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.