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Finding the Fourth Proportional to 331.87, 497.93 and 160.75

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Solution

The fourth proportional to 331.87, 497.93 and 160.75 is: 241.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.87 : 497.93 = 160.75 : x
  2. Step 2: Convert to fraction form
    331.87/497.93 = 160.75/x
  3. Step 3: Cross multiply
    331.87x = 497.93 × 160.75
  4. Step 4: Simplify right side
    331.87x = 80,042.25
  5. Step 5: Solve for x
    x = 80,042.25/331.87
  6. Step 6: Final answer
    x = 241.19

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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.