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Finding the Fourth Proportional to 175.37, 241.74 and 138.45

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Solution

The fourth proportional to 175.37, 241.74 and 138.45 is: 190.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.37 : 241.74 = 138.45 : x
  2. Step 2: Convert to fraction form
    175.37/241.74 = 138.45/x
  3. Step 3: Cross multiply
    175.37x = 241.74 × 138.45
  4. Step 4: Simplify right side
    175.37x = 33,468.90
  5. Step 5: Solve for x
    x = 33,468.90/175.37
  6. Step 6: Final answer
    x = 190.85

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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.