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Finding the Fourth Proportional to 175.05, 240.96 and 131.31

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Solution

The fourth proportional to 175.05, 240.96 and 131.31 is: 180.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.05 : 240.96 = 131.31 : x
  2. Step 2: Convert to fraction form
    175.05/240.96 = 131.31/x
  3. Step 3: Cross multiply
    175.05x = 240.96 × 131.31
  4. Step 4: Simplify right side
    175.05x = 31,640.46
  5. Step 5: Solve for x
    x = 31,640.46/175.05
  6. Step 6: Final answer
    x = 180.75

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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.