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Finding the Fourth Proportional to 331.97, 497.14 and 202.03

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Solution

The fourth proportional to 331.97, 497.14 and 202.03 is: 302.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.97 : 497.14 = 202.03 : x
  2. Step 2: Convert to fraction form
    331.97/497.14 = 202.03/x
  3. Step 3: Cross multiply
    331.97x = 497.14 × 202.03
  4. Step 4: Simplify right side
    331.97x = 100,435.45
  5. Step 5: Solve for x
    x = 100,435.45/331.97
  6. Step 6: Final answer
    x = 302.55

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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.