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Finding the Fourth Proportional to 175.37, 241.87 and 113.21

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Solution

The fourth proportional to 175.37, 241.87 and 113.21 is: 156.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.37 : 241.87 = 113.21 : x
  2. Step 2: Convert to fraction form
    175.37/241.87 = 113.21/x
  3. Step 3: Cross multiply
    175.37x = 241.87 × 113.21
  4. Step 4: Simplify right side
    175.37x = 27,382.10
  5. Step 5: Solve for x
    x = 27,382.10/175.37
  6. Step 6: Final answer
    x = 156.14

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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.