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Finding the Fourth Proportional to 175.70, 241.05 and 174.29

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Solution

The fourth proportional to 175.70, 241.05 and 174.29 is: 239.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.70 : 241.05 = 174.29 : x
  2. Step 2: Convert to fraction form
    175.70/241.05 = 174.29/x
  3. Step 3: Cross multiply
    175.70x = 241.05 × 174.29
  4. Step 4: Simplify right side
    175.70x = 42,012.60
  5. Step 5: Solve for x
    x = 42,012.60/175.70
  6. Step 6: Final answer
    x = 239.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.