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Finding the Fourth Proportional to 175.26, 241.84 and 97.62

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Solution

The fourth proportional to 175.26, 241.84 and 97.62 is: 134.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.26 : 241.84 = 97.62 : x
  2. Step 2: Convert to fraction form
    175.26/241.84 = 97.62/x
  3. Step 3: Cross multiply
    175.26x = 241.84 × 97.62
  4. Step 4: Simplify right side
    175.26x = 23,608.42
  5. Step 5: Solve for x
    x = 23,608.42/175.26
  6. Step 6: Final answer
    x = 134.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.