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Finding the Fourth Proportional to 174.45, 241.02 and 137.24

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Solution

The fourth proportional to 174.45, 241.02 and 137.24 is: 189.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.45 : 241.02 = 137.24 : x
  2. Step 2: Convert to fraction form
    174.45/241.02 = 137.24/x
  3. Step 3: Cross multiply
    174.45x = 241.02 × 137.24
  4. Step 4: Simplify right side
    174.45x = 33,077.28
  5. Step 5: Solve for x
    x = 33,077.28/174.45
  6. Step 6: Final answer
    x = 189.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.