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Finding the Fourth Proportional to 331.31, 496.98 and 146.22

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Solution

The fourth proportional to 331.31, 496.98 and 146.22 is: 219.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.31 : 496.98 = 146.22 : x
  2. Step 2: Convert to fraction form
    331.31/496.98 = 146.22/x
  3. Step 3: Cross multiply
    331.31x = 496.98 × 146.22
  4. Step 4: Simplify right side
    331.31x = 72,668.42
  5. Step 5: Solve for x
    x = 72,668.42/331.31
  6. Step 6: Final answer
    x = 219.34

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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.