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Finding the Fourth Proportional to 331.96, 458.16 and 199.26

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Solution

The fourth proportional to 331.96, 458.16 and 199.26 is: 275.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.96 : 458.16 = 199.26 : x
  2. Step 2: Convert to fraction form
    331.96/458.16 = 199.26/x
  3. Step 3: Cross multiply
    331.96x = 458.16 × 199.26
  4. Step 4: Simplify right side
    331.96x = 91,292.96
  5. Step 5: Solve for x
    x = 91,292.96/331.96
  6. Step 6: Final answer
    x = 275.01

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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.