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Finding the Fourth Proportional to 331.53, 497.16 and 133.85

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Solution

The fourth proportional to 331.53, 497.16 and 133.85 is: 200.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.53 : 497.16 = 133.85 : x
  2. Step 2: Convert to fraction form
    331.53/497.16 = 133.85/x
  3. Step 3: Cross multiply
    331.53x = 497.16 × 133.85
  4. Step 4: Simplify right side
    331.53x = 66,544.87
  5. Step 5: Solve for x
    x = 66,544.87/331.53
  6. Step 6: Final answer
    x = 200.72

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