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Finding the Fourth Proportional to 175.13, 241.60 and 119.05

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Solution

The fourth proportional to 175.13, 241.60 and 119.05 is: 164.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.13 : 241.60 = 119.05 : x
  2. Step 2: Convert to fraction form
    175.13/241.60 = 119.05/x
  3. Step 3: Cross multiply
    175.13x = 241.60 × 119.05
  4. Step 4: Simplify right side
    175.13x = 28,761.57
  5. Step 5: Solve for x
    x = 28,761.57/175.13
  6. Step 6: Final answer
    x = 164.23

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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.