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Finding the Fourth Proportional to 175.41, 262.32 and 131.57

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Solution

The fourth proportional to 175.41, 262.32 and 131.57 is: 196.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.41 : 262.32 = 131.57 : x
  2. Step 2: Convert to fraction form
    175.41/262.32 = 131.57/x
  3. Step 3: Cross multiply
    175.41x = 262.32 × 131.57
  4. Step 4: Simplify right side
    175.41x = 34,513.44
  5. Step 5: Solve for x
    x = 34,513.44/175.41
  6. Step 6: Final answer
    x = 196.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.