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Finding the Fourth Proportional to 175.52, 241.96 and 140.66

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Solution

The fourth proportional to 175.52, 241.96 and 140.66 is: 193.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.52 : 241.96 = 140.66 : x
  2. Step 2: Convert to fraction form
    175.52/241.96 = 140.66/x
  3. Step 3: Cross multiply
    175.52x = 241.96 × 140.66
  4. Step 4: Simplify right side
    175.52x = 34,034.09
  5. Step 5: Solve for x
    x = 34,034.09/175.52
  6. Step 6: Final answer
    x = 193.90

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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.