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Finding the Fourth Proportional to 175.27, 241.71 and 109.73

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Solution

The fourth proportional to 175.27, 241.71 and 109.73 is: 151.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.27 : 241.71 = 109.73 : x
  2. Step 2: Convert to fraction form
    175.27/241.71 = 109.73/x
  3. Step 3: Cross multiply
    175.27x = 241.71 × 109.73
  4. Step 4: Simplify right side
    175.27x = 26,522.84
  5. Step 5: Solve for x
    x = 26,522.84/175.27
  6. Step 6: Final answer
    x = 151.33

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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.