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Finding the Fourth Proportional to 175.20, 242.82 and 171.96

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Solution

The fourth proportional to 175.20, 242.82 and 171.96 is: 238.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.20 : 242.82 = 171.96 : x
  2. Step 2: Convert to fraction form
    175.20/242.82 = 171.96/x
  3. Step 3: Cross multiply
    175.20x = 242.82 × 171.96
  4. Step 4: Simplify right side
    175.20x = 41,755.33
  5. Step 5: Solve for x
    x = 41,755.33/175.20
  6. Step 6: Final answer
    x = 238.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.