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Finding the Fourth Proportional to 329.32, 494.06 and 146.73

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Solution

The fourth proportional to 329.32, 494.06 and 146.73 is: 220.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.32 : 494.06 = 146.73 : x
  2. Step 2: Convert to fraction form
    329.32/494.06 = 146.73/x
  3. Step 3: Cross multiply
    329.32x = 494.06 × 146.73
  4. Step 4: Simplify right side
    329.32x = 72,493.42
  5. Step 5: Solve for x
    x = 72,493.42/329.32
  6. Step 6: Final answer
    x = 220.13

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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.