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Finding the Fourth Proportional to 329.52, 494.02 and 146.78

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Solution

The fourth proportional to 329.52, 494.02 and 146.78 is: 220.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.52 : 494.02 = 146.78 : x
  2. Step 2: Convert to fraction form
    329.52/494.02 = 146.78/x
  3. Step 3: Cross multiply
    329.52x = 494.02 × 146.78
  4. Step 4: Simplify right side
    329.52x = 72,512.26
  5. Step 5: Solve for x
    x = 72,512.26/329.52
  6. Step 6: Final answer
    x = 220.05

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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.