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Finding the Fourth Proportional to 175.25, 241.86 and 97.64

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Solution

The fourth proportional to 175.25, 241.86 and 97.64 is: 134.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.25 : 241.86 = 97.64 : x
  2. Step 2: Convert to fraction form
    175.25/241.86 = 97.64/x
  3. Step 3: Cross multiply
    175.25x = 241.86 × 97.64
  4. Step 4: Simplify right side
    175.25x = 23,615.21
  5. Step 5: Solve for x
    x = 23,615.21/175.25
  6. Step 6: Final answer
    x = 134.75

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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.